My PT 425 was doing the same. Finally traced to tiny bits of debris in the fuel just big enough to block the intake hole in the fuel filter, but not be visible. A suggestion is to remove the fuel filter again and blow compressed air into the out-take end to blow any debris out the other end. There was bits of debris in the fuel tank -- had to drain and vacuum it out. One of my old fuel cans was the source.
The PT would run for a while then quit when the filter was blocked. Minutes later debris would dislodge and the PT would start and run for a while then stop again... I now keep spare fuel filters in the tub to keep it running when I am using the tractor far from the shop. The issue has not repeated since.