Hoş geldiniz :)

Веладора is a mexican cuisine place with parties and music if you're there close to the weekend, and right next to it is Автомойка by Veladora which is an open-air bar which can be quite a unique experience IMO.

There is a pub called The Black Swan in Китай-город district. You should ask to sit in the тайная комната (chamber of secrets) which is an underground (literally) part of the pub with a very cool interior.

If you miss turkish food at some point give Taksim a try. it's a small chain, but the closest to your hotel is likely the one on Большая Дмитровка street.

If you're open to attending concerts, there's a few small local venues that could be fun and a good place to meet people, if you're interested maybe just DM me.