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Should I go to a Baseball Game during the Three Weeks?
Halacha L’Maaseh on The Three Weeks and Tish’a B’Av
(https://www.ou.org/holidays/halacha-lmaaseh-on-the-three-weeks-and-tisha-bav/)

Three Weeks: Restrictions
Forbidden during the Three Weeks :
  1. Saying shehecheyanu;
  2. Shaving;
  3. Haircuts;
  4. Listening to music (even recorded)*
  5. Getting married...
  6. If you are swimming for:
    1. Pleasure, you may swim during the Three Weeks but not during the Nine Days.
  7. Activities for socializing are not prohibited during the Three Weeks before Rosh Chodesh Av (but the activities might be prohibited for other reasons such as if they are dangerous).
  8. We are discouraged from doing dangerous activities during the Three Weeks before and including Tish’a b’Av...
First Nine Days of Av
Restrictions during the Nine Days before Tish’a b’Av are the same as for Three Weeks, plus:
9. You may not eat meat or drink wine.
1. Where would a baseball game during the three weeks run into problems?

משנכנס אב ממעטין בשמחה שבת שחל תשעה באב להיות בתוכה אסור מלספר ומלכבס ובחמישי מותרין מפני כבוד השבת ערב תשעה באב לא יאכל אדם שני תבשילין לא יאכל בשר ולא ישתה יין.

From when the month of Av begins, one decreases acts of rejoicing. During the week in which the Ninth of Av occurs, it is prohibited to cut one’s hair and to launder clothes, but if the Ninth of Av occurs on a Friday, on Thursday these actions are permitted in deference to Shabbat. On the eve of the Ninth of Av a person may not eat two cooked dishes in one meal. Furthermore, one may neither eat meat nor drink wine.

תָּנוּ רַבָּנַן: כׇּל מִצְוֹת הַנּוֹהֲגוֹת בְּאָבֵל — נוֹהֲגוֹת בְּתִשְׁעָה בְּאָב; אָסוּר בַּאֲכִילָה וּבִשְׁתִיָּה, וּבְסִיכָה, וּבִנְעִילַת הַסַּנְדָּל, וּבְתַשְׁמִישׁ הַמִּטָּה. וְאָסוּר לִקְרוֹת בַּתּוֹרָה בַּנְּבִיאִים וּבַכְּתוּבִים, וְלִשְׁנוֹת בַּמִּשְׁנָה בַּתַּלְמוּד וּבַמִּדְרָשׁ וּבָהֲלָכוֹת וּבָאַגָּדוֹת.

The Sages taught: All mitzvot practiced by a mourner [in aninut] are likewise practiced on the Ninth of Av: It is prohibited to engage in eating, and in drinking, and in smearing oil on one’s body, and in wearing shoes, and in conjugal relations. It is prohibited to read from the Torah, from the Prophets, and from the Writings, or to study from the Mishna, from the Gemara, and from midrash, and from collections of halakhot, and from collections of aggadot.

These sources are all about the Nine Days. So where do we get the customs for the Three Weeks?
If Avelut Yeshana is like Shloshim, or Yud Beit Chodesh, we now run into the prohibitions on Simchat Me'reut - gatherings of friends, regardless of size or of the activities promoted there.
לשמחת מריעות - סעודה שעושין ריעים ואהובים זה עם זה ולא הוי שמחה כל כך אבל סעודה דשמחה כגון דנישואין לא:

Simchat Me'reut- A meal that is made for friends and beloved ones that each does, even when it is not so joyus - [a mourner is permitted to go to this after 30 days ] - but this does not include a [very] joyful feast like a wedding.

(ב) וְאֵלּוּ דְּבָרִים שֶׁהָאָבֵל אָסוּר בָּהֶן כָּל שְׁלֹשִׁים יוֹם. אָסוּר בְּתִסְפֹּרֶת. וּבְגִהוּץ. וּבְנִשּׂוּאִין. וּבְשִׂמְחַת מֵרֵעוּת. וְלֵילֵךְ בִּסְחוֹרָה מִמְּדִינָה לִמְדִינָה. הַכּל חֲמִשָּׁה דְּבָרִים:

(2) These are the practices forbidden to a mourner for the entire 30-day period. He is forbidden to cut his hair, to wear freshly ironed clothing, to marry, to enter a celebration of friends, and to go on a business trip to another city; five matters in all.

Avelut Yeshanah and Avelut Hadashah: Historical and Individual Mourning
By Rabbi Joseph B. Soloveitchik zt"l

The Gemara (Yevamot 43b) distinguishes between avelut hadashah and avelut yeshanah, "new" mourning and "old," historical mourning - or, expressing the same thought in a different idiom, between avelut de-yahid and avelut de-rabbim, private and national-communal mourning. The first, avelut hadashah, is caused by a death or disaster which strikes a family or an individual. It is a primordial, instinctual, spontaneous response of man to evil, to the traumatic confrontation with death...
The second category, avelut yeshanah, is due to a historic disaster that took place 1,900 years ago. This category is the handiwork of man. There is no spontaneous reaction to some new event which has just transpired, for nothing new has happened which should justify grief. The avelut is a result of recollection of events. Judaism here introduced a strange kind of memory, a very unique and singular memory...
Of course, historical mourning is based upon this unitive time consciousness. Without that experiential memory it would be ridiculous to speak of mourning due to an event which lies in antiquity. It would be contrary to human nature. Avelut hadashah is a spontaneous response - neither premeditated nor planned - to the sudden attack or onslaught of evil, catastrophe, disaster or death. Avelut yeshanah is cultivated, gradually evolving through recollection and through the unitive time awareness. The main distinction between these two types of mourning expresses itself in the reversal of the order of the stages. Avelut hadashah commences with the most intense, most poignant and highest state of grief - aninut - and slowly recedes into shiv'ah, sheloshim and yod-bet hodesh, until it fades into a lingering melancholy. Avelut yeshanah follows a reverse course. It starts out with avelut of yod-bet hodesh, the mildest form of mourning...It gradually turns into avelut sheloshim and grows in intensity until it reaches the pitch of shiv'ah.
If the Three Weeks are like Shloshim or Yud Beit Chodesh, we now get to the prohibitions on simchat me'reut.

(ז) בַּמֶּה דְּבָרִים אֲמוּרִים בִּשְׁאָר כָּל מֵתִים. אֲבָל עַל אָבִיו וְעַל אִמּוֹ בֵּין כָּךְ וּבֵין כָּךְ לֹא יִכָּנֵס לְשִׂמְחַת מֵרֵעוּת עַד י''ב חֹדֶשׁ:

...

(ט) עַל כָּל הַמֵּתִים כֻּלָּן רָצָה מְמַעֵט בְּעִסְקוֹ רָצָה אֵינוֹ מְמַעֵט. עַל אָבִיו וְעַל אִמּוֹ מְמַעֵט בְּעִסְקוֹ:

(7) When does the above apply? When one is mourning for other deceased persons. When mourning for one's father or mother, by contrast, under all circumstances, one is forbidden to enter a friendly gathering for twelve months.

...

(9) When mourning for all other deceased persons, if one desires, one may reduce his business activities. If he does not desire, he need not reduce them. When mourning for one's father or mother, by contrast, one should reduce one's business activities.

If the Three Weeks are equivalent to the 12 months following the death of a parent, it should be forbidden to go to a baseball game during the three weeks. If the Three Weeks are like mourning for a different relative, it may be permissible when there is a social obligation. So which one is it? What does it mean to mourn the loss of the Beit Hamikdash as if you were its child? Or its spouse? Which parallel do you find most compelling?
Now, let's examine the source for the parallel:

חוּץ מִן הָאַלְמָנָה וְכוּ׳. אָמַר רַב חִסְדָּא קַל וָחוֹמֶר: וּמָה בִּמְקוֹם שֶׁאָסוּר לְכַבֵּס, מוּתָּר לֵיאָרֵס. מְקוֹם שֶׁמּוּתָּר לְכַבֵּס — אֵינוֹ דִּין שֶׁמּוּתָּר לֵיאָרֵס?! מַאי הִיא, דִּתְנַן: שַׁבָּת שֶׁחָל תִּשְׁעָה בְּאָב בְּתוֹכָהּ — אָסוּר לְסַפֵּר וּלְכַבֵּס, וּבַחֲמִישִׁי — מוּתָּר, מִפְּנֵי כְּבוֹד הַשַּׁבָּת. וְתַנְיָא: קוֹדֶם הַזְּמַן הַזֶּה — הָעָם מְמַעֲטִין בְּעִסְקֵיהֶם, מִלִּישָּׂא וּמִלִּיתֵּן, מִלִּבְנוֹת וְלִנְטוֹעַ. וּמְאָרְסִין אֲבָל לֹא כּוֹנְסִין, וְאֵין עוֹשִׂין סְעוּדַת אֵירוּסִין.... אֶלָּא אָמַר רַב אָשֵׁי: שָׁאנֵי אֲבֵילוּת חֲדָשָׁה מֵאֲבֵילוּת יְשָׁנָה, וְשָׁאנֵי אֲבֵילוּת דְּרַבִּים מֵאֲבֵילוּת דְּיָחִיד.

§ The mishna states that Rabbi Yosei says: All [previously married] may be betrothed within three months except for a widow, due to the mourning period she must observe for her deceased husband. Rav Ḥisda questioned the mishna’s ruling and said: Based on an a fortiori inference, it should be permitted for a woman to be betrothed during the thirty-day mourning period for her husband: If during another period of mourning, which the Gemara will specify, when it is prohibited to launder clothes, it is permitted to be betrothed, then during the thirty-day mourning period for a husband, when it is permitted to launder clothes, isn’t it logical that it should also be permitted to be betrothed? The Gemara explains the cases involved: What is the period of mourning to which Rav Ḥisda is referring? As we learned in a mishna (Ta’anit 26b): During the week in which the Ninth of Av occurs, it is prohibited to cut hair and to launder clothes, but on Thursday it is permitted in deference to Shabbat. And it is taught in a baraita: Prior to this time the public reduce their activities, refraining from business transactions, from building and planting, and they may betroth women but may not marry them, and they may not make a betrothal feast.

[ie, if mourning a spouse is like mourning over the destruction of the Temple, why must a widow must wait three months to get engaged, while someone could get engaged - but not married - at the beginning of the month of Av?]

Rather, it must be that the question of whether it is permitted to betroth a woman during the period prior to the week of the Ninth of Av is subject to a dispute between tanna’im. As it is taught in a baraita: From the New Moon of Av and until the fast on the ninth, the public reduces its activities, refraining from business transactions, from building and planting, and from betrothing and marrying. During the week in which the Ninth of Av occurs, it is prohibited to cut hair and to launder clothes, and it is prohibited to be betrothed. And some say: It is prohibited for the entire month. ... Rather, Rav Ashi stated a different resolution of Rav Yosei’s opinion: New mourning, i.e., the mourning for a relative who has just passed away, is different from old mourning, i.e., the mourning over historic events such as the destruction of the Temple, and it is appropriate to be more lenient in the latter. And the mourning of the public is different from the private mourning of the individual... As such, it is not possible to form an a fortiori inference from the halakhot of mourning for the Temple to those of a wife mourning for her husband.

What else might we notice are differences between the laws of the 3 Weeks and Avelut? What might the following sources add to our understanding of this time?

כָּל רֹדְפֶיהָ הִשִֹּׂיגוּהָ בֵּין הַמְצָרִים, כְּהַהִיא דִּתְנַן דִּבְרֵי בֶּן נַנָּס בְּסִימָנָיו וּבְמֵצְרָנָיו. דָּבָר אַחֵר, כָּל רֹדְפֶיהָ הִשִֹּׂיגוּהָ בֵּין הַמְצָרִים, בְּיוֹמִין דְּעָקָא, מִשִּׁבְעָה עָשָׂר בְּתַמּוּז עַד תִּשְׁעָה בְּאָב, שֶׁבָּהֶם קֶטֶב מְרִירִי מָצוּי, כְּמָה דְאַתְּ אָמַר (תהלים צא, ו): מִדֶּבֶר בָּאֹפֶל יַהֲלֹךְ מִקֶּטֶב יָשׁוּד צָהֳרָיִם...רַבִּי אַבָּהוּ...חֲמָא חַד בַּר נָשׁ דְּטָעֵין חֲדָא קְטִיתָא וַאֲזַל לְמִימְחֵי חַבְרֵיהּ, חֲמָא מַזִּיקָא קָאי בַּתְרֵיהּ דְּטָעֵין קְטֵיתָא דְפַרְזְלָא קָם וּצְרִיחַ, אֲמַר לֵיהּ מָה אַתְּ בָּעֵי קְטֵיל חַבְרָיךְ?!

אֲמַר לֵיהּ בַּהֲדָא בַּר נָשׁ קְטִיל חַבְרֵיהּ? אֲמַר לֵיהּ: הָא מַזִּיקָא קָאֵים בַּתְרֵיהּ דְּטָעֵין קְטֵיתָא דְפַרְזְלָא, אַתְּ מָחֵי לֵיהּ בַּהֲדָא וְהוּא מָחֵי לֵיהּ בְּהַהִיא וָמֵת.

רַבִּי יוֹחָנָן הֲוָה מְפַקַּד לְסַפְרַיָיא וּמַתְנְנַיָּא דְּלָא לֶהֱווֹן טְעוּנִין עַרְקְתָא מִינוּקַיָּא בְּאִילֵין יוֹמֵי.

"All her pursuers have overtaken her within the straits,” in days of distress, between the seventeenth of Tamuz and the ninth of Av, during which Ketev Meriri is prevalent, just as it says: “Nor the pestilence that stalks in darkness, nor the destruction [ketev] that lays waste at noon” (Psalms 91:6)...Rabbi Abahu...saw a certain person who was carrying a stick and going to strike another person. He saw a demon standing behind him carrying an iron rod. [Rabbi Abahu] stood and called out to him, saying to him: ‘Why do you seek to kill your friend!?’

[The man] said to him: ‘Can a person kill another with this?’ [Rabbi Abahu] said to him: ‘There is a demon standing behind him that is carrying an iron rod. You strike him with this and it will strike him with that and he will die.’

Rabbi Yoḥanan would instruct the teachers of Bible and the teachers of Mishna not to raise a strap to the children during those days.

וראיתי נשים יקרות שנמנעות מאכילת בשר ומשתית היין משבעה עשר בתמוז עד עשרה באב ואומרות שכך קבלו מאמותיהן דור אחר דור. ונראה לי משום דאמרינן בתלמוד במשנה בשבעה עשר בתמוז בטל התמיד וכן בעונותינו בטל נסוך היין. ויש מן האנשי׳ שנהגו כן.

Anonymous, (1200-1300*)
And I have seen dear women (nashim yikarot) who refrain from eating meat and drinking wine from the seventeenth of Tammuz until the tenth of Av and say that this is how they received it from their mothers generation after generation. And it seems to me that this because [as it says in the Gemara] on the seventeenth of Tammuz, the daily offering (the korban tamid) was cancelled, as well as in mourning, we do not drink wine. And some men also have this cusom.

(א) בִּשְׁנַ֣ת שָׁל֗וֹשׁ לְכ֙וֹרֶשׁ֙ מֶ֣לֶךְ פָּרַ֔ס דָּבָר֙ נִגְלָ֣ה לְדָֽנִיֵּ֔אל אֲשֶׁר־נִקְרָ֥א שְׁמ֖וֹ בֵּלְטְאשַׁצַּ֑ר וֶאֱמֶ֤ת הַדָּבָר֙ וְצָבָ֣א גָד֔וֹל וּבִין֙ אֶת־הַדָּבָ֔ר וּבִ֥ינָה ל֖וֹ בַּמַּרְאֶֽה׃ (ב) בַּיָּמִ֖ים הָהֵ֑ם אֲנִ֤י דָֽנִיֵּאל֙ הָיִ֣יתִי מִתְאַבֵּ֔ל שְׁלֹשָׁ֥ה שָׁבֻעִ֖ים יָמִֽים׃ (ג) לֶ֣חֶם חֲמֻד֞וֹת לֹ֣א אָכַ֗לְתִּי וּבָשָׂ֥ר וָיַ֛יִן לֹא־בָ֥א אֶל־פִּ֖י וְס֣וֹךְ לֹא־סָ֑כְתִּי עַד־מְלֹ֕את שְׁלֹ֥שֶׁת שָׁבֻעִ֖ים יָמִֽים׃ {פ}
(1) In the third year of King Cyrus of Persia, an oracle was revealed to Daniel, who was called Belteshazzar. That oracle was true, but it was a great task to understand the prophecy; understanding came to him through the vision.-a (2) At that time, I, Daniel, kept three full weeks of mourning. (3) I ate no tasty food, nor did any meat or wine enter my mouth. I did not anoint myself until the three weeks were over.
What is Daniel doing when he adopts this mourning practice? How might that relate to the Three Weeks?
If there's time check out this nifty appendix on the prohibitions of music:

מר"ח עד תענית ממעטים במשא ומתן ובבנין של שמחה כגון בית חתנות לבנו או בנין של ציור וכיור ובנטיע' של שמחה כגון אבורנקי של מלכי' שנוטעים לצל להסתופף בצילו או מיני הדס ומיני אהלי' ואם היה כותלו נוטה ליפול אע"פ שהוא של שמחה מותר לבנות (ולצורך מצוה הכל שרי) (ר"ן ספ"ק דתענית) ואין נושאין נשים ואין עושין סעוד' אירוסין אבל ליארס בלא סעודה מותר ואפי' בתשעה באב עצמו מותר ליארס שלא יקדמנו אחר: הגה ונוהגין להחמיר שאין נושאים מי"ז בתמוז ואילך עד אחר תשעה באב: (מנהגים):

From Rosh Chodesh until the Fast we minimize business transactions and building of joy, example the wedding house for his son or the building of molding and decorating (i.e. of walls and ceilings). Or joyous planting, example a royal banqueting canopy that is planted for shade to stand in its shade or types of myrtle and other tents. If its wall is leaning to fall even though it is of joy, it is permitted to build and for the needs of a mitzvah, all is allowed [Ran Last Chapter of Taanis]. We do not wed women and we not make engagement meals, but engaging without a meal is allowed. Even on Tisha B'av itself, it is permitted to engage that one not precede him. Note (Rema): Our custom is to be strict that we do not wed from the 17th of Tammuz and on until after Tisha B'av .

[EN: Note that the Kol Bo's observations have now become accepted Ashkenazi custom]

שלא יקדמנו אחר. ומה"ט מותר לעשות שדוכין ומ"מ נ"ל דאסור לעשות סעוד' ואפי' בלא רקודין ומחולות ול"ד לסעודת ברית מילה דלית בה שמחה כלל משא"כ כאן ונ"ל דאפי' בשבת אסור לעשות דהא בגמ' קתני מר"ח עד התענית אסור וא"א דלית בהו שבת מיהו מה שנוהגין לאכול מיני מרקח' בשעת כתיבת התנאים לא מקרי סעודה, ונ"ל דאסור לעשו' ריקודין ומחולות מי"ז בתמוז ואילך:

And what is the reason that it is permitted to make a match [but not to have a wedding]? At any rate it seems to me that it is assur to have a seudah, even if there is no dancing and no group-dancing ...and it seems to me that it is assur to dance or group-dance from the 17th of Tammuz and onwards.

שו”ת יחוה דעת ו:לד

בסיכום: אף על פי שמותר מעיקר הדין לשמוע בשאר ימות השנה דרך הרדיו ורשם – קול שירי קודש המלווים כלי נגינה, אבל בימי הספירה וכן בימי בין המצרים יש להימנע מלשומעם. ומכל מקום בשמחת מצוה כגון מילה, או פדיון הבן, או סיום מסכתא, או בר מצוה, מותר לשמוע שירי קודש המלווים בכלי נגינה, שכל שהיא שמחת מצוה יש להקל בדבר. ושירה בפה כשהיא דרך הודאה להשם יתברך, בלי כלי נגינה, מותרת אף בימים אלה, ומכל שכן שמותר להשמיע נעימה בתפלה, או בשעה שעוסק בתורה, וכל שכן בשבתות שבתוך ימי הספירה או ימי בין המצרים, ואין להחמיר בזה כלל.

Responsa Yechaveh Da’at VI:34

Rav Ovadia Yosef

To summarize: Even though the basic halacha is to permit listening to religious songs with instrumental accompaniment during the rest of the year on the radio or a recording; however, during sefirat ha-omer and similarly during bein ha-metzarim one should refrain from hearing them. In any case, for a celebration of a mitzva such as a mila, or a pidyon ha-ben, or a siyyum of a tractate, or a bar mitzva, it is permitted to listen to religious songs with instrumental accompaniment, for wherever there is a celebration of a mitzva one may be lenient with this. Singing in the manner of praise to God, without instrumental accompaniment, is permitted even during these days, and all the more so that one may sing pleasant tunes during prayer, or when occupied with Torah, and all the more so on the Shabbatot that fall during sefirat ha-omer or bein ha-metzarim, and one should not be stringent with this at all.