The lines were all replaced with new, with the exception of the rubber hose which exits the tank near the top and ends open to the atmosphere beneath the tractor, the purpose of which I assumed to be an overflow or for internal pressure relief. Would it not serve the same purpose as a vented cap? If so, is this a built-in redundancy? Perhaps I am not understanding the purpose for both.
I suspect this will be the case, too. Somewhere in the fuel delivery system, something is causing a blockage. Ruling out the hoses due to their being newly replaced, it leaves somewhere within/on the carburetor, or perhaps the vent hose. The fuel filter is new, and is the correct metal cannister stipulated in the Toro parts diagram. In/out ports are correctly located. Or….perhaps it may be some yet undetected water in the fuel that has is lingering somewhere in the fuel delivery system. When it is drawn into the carburetor and atomized, the engine stalls until incoming combustible gasoline displaces it. In theory anyway, that’s what I could envision as another possibility. Agree?