If it's the fuel filter the gen will starve itself for fuel because of blockage creating a low delivery volume and partial suction. After the gen is off for a couple of min the pressure equalizes and the engine will restart. Replacing your fuel filter should have you going in no time. Like the air filter, the fuel filter should be replaced at regular intervals. If you have an hour meter check to see how many you have and compare against the manual, you may be due for air filter also.
Glad you got it figured out!
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