There is one *G lounge at TBIT (Tom Bradley International Terminal), which is the terminal TG (Thai) uses at LAX. It is a common *A lounge shared by all the *A airlines in TBIT for their business class and *G passengers. As *G you can bring 1 guest travelling with you into the lounge also.

Note the lounges at LAX are all airside. This means you will need to have a boarding pass for TG to access the TBIT lounge. If you don't already have it from checking in at CLT (or wherever you come from), eg it is on a separate ticket, then you will need to wait for TG check in to open (should be 3-4 hours before departure).

If you are arriving at LAX on another *A flight, then you might also be able to use a lounge in the arrival terminal before you head over to TBIT (depending on airline and how much time you have).