sliding door locking hardware

I need the lock parts for a sliding door.
Inscription on glass says:
CTGB Tempered
10 (or 18) CFR 1201 (Symbol looks like H)
SGCC 1022 5/32U

The door is 8ft w x 80in h, the door slider is 47.5 w x 77.5 h,
door handle screws are 4" apart, handle bar is 5.5 "
door end inside screws are 3.75" apart

thank you

I'm looking to add a lock and latch to my slider. The existing handle doesn't appear to be the original hardware for the door.
The latch I installed lines up with the original holes, but the lock is not in the center. The handles have the lock in the center.

Latch screw holes are 3-11/16" apart

Handle screw holes are 4-15/16 apart

The screw holes on the stile are 5" apart and 2" from screw hole to lock hole.

Do you know what handle I can use to make this work?