Same problem today. Last update of GSX (from this morning), via live update.
Did a full flight LROP to LTBA with GSX in the Fenix, no problems until deboarding. Mid deboarding, the endless spinning started (although I could still see the passengers deboarding).
Force closing COUATL (even from Task Manager) and restarting it several times did not do anything, still endless spinning.
So I flew a second leg without GSX, closed MSFS, restarted computer, and spawned again in LROP, GSX is working again.
There must be some bug which sometimes prevents reopening GSX with MSFS running, please take a look.