If your mower is at operating speed in the photo, it appears the Throttle Plate is nearly closed.
Governor linkage can do that if there is a fuel problem (not enough gas). Try squirting a small amount of gasoline into the Carb when it is set for wide open and see if it revs up considerably. I think you may have fuel starvation problem and need to have the Carb disassembled and all passages cleaned. There are some very tiny holes in the emulsion tube and jets that you may need a wire from a wire brush to clean. Remember carefully how it is assembled and if new to this, take photos.
Work on a big clean surface with a towel underneath so items don't bounce away . Good Luck.