I have had issues with GSX, but different to you. The integrated GSX in the efb, didn't give me the option to confirm good engine start! No idea why. It did work if I turn GSX integration off in the efb and use the top GSX menu within the FS2024 sim.
Another thing to bare in mind. There have been several reports that using a Tug that lifts nose wheel rather than a towbar, receives a nose gear oversteer warning message. You can force GSX to use a towbar from the GSX editor.