If that's ethanol fuel, un-stabilized, dump it. I'd at least pull the bowl off again and check for varnish.
If leaves got in the tank, rain got in the tank .
Dumb question, but is the
choke butterfly closing fully when activated?
Always start with fresh fuel... Any of my customers machines I get in, the fuel gets dumped (later used for parts cleaning), the tank checked, at least blown out or flushed.
Make sure the tank cap is VENTING or it will run out of run with a full tank after awhile.. Loosening the cap (for testing) to see if it continues to run would verify the cap good or bad..
Your NOT getting fuel to the combustion chamber is your issue...
***Also, do a compression test... If compression is low, the engine won't suck fuel into the combustion chamber. As you don't know what was "dinked with", you might want to inspect the intact manifold, gaskets, etc for any air leaks..
Also, check to see if there's a low oil switch on the engine(it'll have usually one wire coming off it). They do go bad and can cause running issues(probably NOT your issue).
Does your gen engine look like this: