Carburetor Question - Is this a good call?

If you look at the 2 pics, the one on the left (at idle) looks fine, but the one on the right has a gap between the nut and the arm. Seems to me the lever is jammed in one position and isn't moving at all, which stops the diaphragm from pumping any fuel. I'd check that accel diaphragm for damage, or (my best guess) a missing spring under it.

This would explain.."I cant loosen it enough to make it have zero play."

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