I'd suggest spending $10 and rebuilding the carb. If it is anything like the 8n's there are 3 fuel filter screens. One in the tank connected to the sediment bowl, one in the sediment bowl, and one where the fuel line enters the carb. Check/clean/replace all of these.
Given that it starts fine and runs for a little bit and then dies sounds like it is using up all of the gas that did trickle to the carb, but then dies. Let it set awhile, more gas will trickle in, and same thing. The tractor is using gas just a tad faster than you are supplying it.