For a long time I couldn't figure out how to get into this hall)
For those who are as dull as I am, the entrance is through a small door between two sports shops... then take the elevator to the 4th floor and you are there.
About the hall:
A small gym, in general, everything you need for training is there, inexpensive season tickets (unlimited for a month 110 GEL)
There is a shower, a pleasant locker room and polite staff
They work from 8 am to 23:30 (very convenient)