You can also adjust the accelerator pump by varying the hole on the throttle arm in which the rod sits...and bending the rod, itself.
There should be no 'play' at the pump arm. It shouldn't be 'almost touching'...the pump arm should be under spring load (from the internal spring) and have the diaphram just slightly into its range of motion. This ensures a rapid pump shot as soon as you press the pedal.
That pump shot is the first thing you feel on throttle tip in, the power valve fillls in (on aggressive pedal action) after the acc. pump is done.
probably out breaking stuff.