Cub Cadet Walk Mower ?????

Hey.......this thing has a black fuel line that runs directly from the tank outlet to the inlet of the carb......The mower starts right up with a prime, BUT stalls right out when that little bit of gas is gone.......

There's no inline filter.......is there a small screen in that carb inlet, or one at the tank outlet that might be plugged?

The carb is so small that there doesn't seem to be any space for a filter or screen......thought about the needle, maybe a piece of sand in there or something.....Just don't know what to try......Oil is at correct level, so it's not a safety shutdown...air filter is removed to clean it so it ain't air flow......It gets a little gas with the bulb primer......But just burns it up and stalls out.

WHAT SHOULD I CHECK? Gotta be fuel lack at some point.........