I fix these things for a living. First off, that engine has been made for years by Briggs and Stratton. They are cheap, but are still very reliable and will last for years if maintained properly.. I take it your pressure washer has the small, plastic carburetor sitting on top of the metal fuel tank. While that carburetor has no adjustments thanks to EPA regs, it is still very servicable. Take the carb and tank off the engine. Remove the five screws holding the carb to the tank, and lift the carb up and off. There is a rubber fuel pump diaphragm and a gasket between the carb and tank.
Ill about bet money the fuel pump diaphragm got pinched when the engine was assembled. When this happens, gas leaks past the diaphragm and into the carb throat, causing it to run rich. I see this from time to time at work. Change the diaphragm and gasket, take the protective screen off the main nozzle of the carb and blow it out, and reassemble, and I bet your problem will be solved. Be careful not to pinch the pump diaphragm when YOU put it back together. Haha. Tighten the five carb bolts in a criss-cross pattern, starting with the ones closest to the throttle plate on the carb, working back towards the primer bubble. The pump diaphragm goes against the flat flange on the fuel tank. Gasket on top.
In extreme cases, the plastic carb's mounting flange can warp and cause the same problem. In this case, double-up the gasket (use only one pump diaphragm...the one with the flapper valves) or, if you have to, replace the carb altogether. (Only about $ 35.00, so not too bad).
Oh, if you need a diaphragm kit, you'll need a Briggs and Stratton part # 5083 kit. I have one in my hand as I type this. Cost? $ 4.95. Fix it, don't follow bad advice and junk it. I:I