It dies like it is fuel-starved because it IS, unfortunately. I have the same mower and it just cost me $60 to have a flimsy rubber "gasket" installed. This thing goes betwen the carburetor and the fuel tank on top of the much thicker gasket. If I remember correctly, the portion that went bad was the accelerator pump. It hardened due, in part, to the ethanol that I'm forced to run in it.
Do yourself a favor and just buy the thing and install it yourself. It takes minor hand tools and about ten minutes.
Steve
September 2008