Runs then dies

Rinsed and blew air thru fuel cap vent. I will have to admit that I haven’t thought to try it with the cap off or loose.
Ran it twice more today. Although the first run the fuel filter remained full the second and third time when it died it was half and near empty respectively. I am starting to think of adding an electric pump , but am probably just taking a poor mechanics attitude of throwing parts until something sticks.
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