I’ve had to do some lgbtq targeting for a clients on Facebook.
Facebook did remove targeting for anything lgbtq related, you can no longer target based on sexual orientation or anything that can be construed as sexual orientation.
There are other options you can do though, if your patrons are mostly men, you can target men who have an interest in things that straight men typically don’t have. For example famous drag celebrities: RuPaul, jujubee, Nina flowers etc.
If you have an email list, i would target them since I’m assuming you’ll have many recurring customers. You can run lookalikes off them as well. If you don’t have an email list I recommend starting one asap.
If your fb and ig page have big followings, I’d target them and run lookalikes of them as well.
If you have some website traffic I’d target them as well.
Just be cautious with Facebook you will get lots of haters and people leaving shitty and rude comments. So comment moderation is a must for your work.
For google, you just have to pick the right search terms. And run some local search ads too.
I’d also consider tiktok for you if you have the ability to create organic looking content. Yelp is a possibility, but requires you having good reviews.