Engine dies when I step on the gas

Ima thinking accelerator pump circuit; but
just for kicks, leave it in first to climb that hill, and keep the throttle open enough to climb at a steady pace, neither gaining nor losing speed.
Then report back.

This morning, I didn't let it warm up completely (only 2-3 minutes) and left the garage in 1st gear and not "Drive". When I made the turn to go up the hill and stepped on the gas- BOOM- the engine cut right off and stalled, same as id she were in "Drive". So I'm guessing its not a transmission or shifting issue at least. It was an insightful and good idea- thanks