I have a GT275 and had a problem with the PTO spontaneously shutting off. With my tractor, I could mow for about 20 minutes and then the clutch would shut off. I went through the PTO clutch, PTO switch, PTO interlock switches on the brake pedal and below the seat, and then started checking the charging system and finally found a faulty voltage regulator. Check the charge voltage to the battery with the motor running at about 1/2 throttle. You should have close to 14 volts. If you don't I would look at the voltage regulator. In my tractor, the regulator was buried in the central column. I had to take off the steering wheel, pull the center column shroud back, undo an electronics board to get to the regulator. However, once there it became quite clear. With the motor running, I had 14+ volts to the regulator, and only 11.5 volts coming out of it.
With only 11.5 volts to the battery, the charge system could not provide enough current flow to keep the battery charged as the PTO clutch requires a substantial amperage flow to stay engaged. The faulty regulator also prevented the battery from being fully charged and the problem got progressively worse over time as the battery was being discharged and never fully charged.
I replaced the voltage regulator and the PTO has worked fine for the past five years.