You can gift as much as you want to. There is no limit on gifts. But if you gift more than $17,000 (for 2023) to any one person, you have to file a gift tax return, Form 709. You will not have to pay any gift tax unless the total of all the gifts you have given in your lifetime is more than $12.9 million (for 2023), but you have to file the return.
The $17,000 gift tax exclusion, and the need to file a gift tax return, have nothing to do with your filing status or anything else on your income tax return. The rules apply to each giver individually. So you and your wife can each gift up to $17,000 to the same person without having to file a gift tax return.
However, if the gift is stock that was owned in your name, that is a gift from you. Your wife cannot gift stock from your brokerage account. You would first have to transfer the stock to her name. (Gifts between spouses are not subject to gift tax or the $17,000 limit, and a gift tax return is never required.)
You cannot file a gift tax return with TurboTax.
