On the 1991 engines there is a primer solenoid. When the key switch is pushed in the solenoid is activated and pressurized fuel from either the primer bulb or the fuel pump is allowed to flow through the pump and to the back side of the carburetor and into the intake manifold. Your engine will only stay running when the primer is activated. The carburetor on your engine is apparently plugged with old fuel/varnish and must be removed, cleaned and a new carb kit installed. Your needle & seat in the carburetor is stuck shut hence no fuel in the bowl to drain out when you removed the drain screw. If you are not mechanically inclined it would be best for a shop to do the work. There are small passages that go from the bottom of the fuel bowl up to the top of the carb and supply fuel for the idle circuit to function. Those are plugged and care must be taken with the cleaning process. Not expensive if you just hand a shop the carburetor. Am guessing it has been a while since the engine has run from your comments and the fact that you already have replaced the tank and line. In the future it would be best to try and source non-ethanol fuel to run the engine on if possible, not mandatory but the flexible parts in the fuel system will last a whole lot longer. If you do not know the service history on the engine then consider a water pump or an impeller at the very least as well as new gearcase oil.