Can we cook on the Feast of Weeks also known as Shavu'ot or Pentecost?

Answer From The Annual Reading Schedule - Week 28 Notes For Leviticus: In Leviticus 23:21 and Numbers 28:26 we're commanded to not work on the day of the Feast of Weeks (known also as Shavu'ot or Pentecost). Because of this, and because this is a Set-Apart Day, my current answer is "No" – we cannot cook on this day. Yes – it does say "servile work", however, I am not convinced that "servile work" automatically does not include cooking. In fact, because an exception to permit cooking seems to have been needed for the 1st and 7th Days of the Feast of Unleavened Bread even though those days also do not permit "servile work" seems to indicate that under normal circumstances "servile work" can include cooking – otherwise an exception would have not been needed.

However, I do consider this debatable and consider the possibility I'm wrong on this for this one day for one reason: In the Torah given through Mosheh (Moses), the Feast of Weeks (known also as Shavu'ot or Pentecost) is not specifically called Shabbat, Shabbat Shabbatown, nor are we told to have a Shabbatown in the Hebrew. I question to myself, "Why?". I wonder if perhaps I am wrong and I wonder if this is one indication that you can cook on this day since it is not called a Shabbat or Shabbatown or Shabbat Shabbatown. However, I still am not fully convinced to a degree of certainty where I am confident enough to cook on this day. I would have to feel confident that I am not violating one of Yahweh's laws. This day is still a "Set-Apart Day" in my mind because we're required to have a Set-Apart Gathering and Reading. The fact that it's a Set-Apart Day could quite possibly be enough to mandate that cooking does not happen on this day.

The phrase "Yom Qodesh" (Day Set-Apart) is in Nehemiah 10:31 (verse 32 in some Hebrew manuscripts) and means "Set-Apart Day". This shows that other days besides the weekly Sabbath were held to be a "Set-Apart Day" with certain levels of conduct expected and certain restrictions in place. Since the weekly Sabbath is a Set-Apart day, then it is quite possible that only conduct permitted on the weekly Sabbath would inherently be permitted on any other Set-Apart Day. The weekly Sabbath, in a way, may be the day that "sets the bar" or "sets the standard" for what it means to observe a Set-Apart Day in a way that pleases Yahweh because that was the first day Set-Apart by Yahweh. Because of this, we would need to be very, very confident that we're correct to say that we could cook on some other Set-Apart Day. I have not seen or heard anything that would make me feel such confidence on days other than the 1st and 7th of Unleavened Bread (see the answer to the question for the 1st and 7th Days of Unleavened Bread for more details on that).

Also, as discussed in my answer for the 1st and 7th Days of the Feast of Unleavened Bread, I do not view Exodus 12:16 as transferrable or applicable to any other feast days outside of the Feast of Unleavened Bread. See the answer to the question for the 1st and 7th Days of Unleavened Bread for the longer explanation on this.