Here's the entire generator:
https://www.jackssmallengines.com/jacks-parts-lookup/manufacturer/generac/united-states/portable-generators/3-100-to-3-300-watt/030378-0-3-250-watt-briggs-stratton/main-unit The filter assembly should look like this:
A metal, stamped plate that attaches to the carb intake with 2 7/16's nut's.
The filter then goes in with a plastic cover, two 5/16's screws on each side.
Some have a plastic, roundish end, then kinda long part that snaps into the base.
That's normal and if its there leave it. It directs crankcase fumes (the vent tube),
to be sucked back into the carb (EPA)...
.
The air filter assembly should look like this (a different engin