There's no polarity on those things, so you can't go wrong there. If you're getting a Loud Mechanical Noise and running Fan Only (NOT calling for cooling) then the problem's somewhere with the Fan Motor or Fan. Actually FanS, since there's a fan outside and a blower wheel for inside.
I just went through a case with ours (Coleman Mach but same setup) and the fiber "wicking" that's supposed to hold oil for the blower shaft bearings had gone dry. It squeaked while running and wouldn't re-start after being off awhile.
I carry one of these oilers
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and some of that oil helped. Oddly WD-40 helped even more. When I got home I dismantled the motor, cleaned everything, made new oil wicking, lubed it up and reinstalled. So far so good.
The compressor has a start winding and start capacitor. The blower has low and high speed winding, no start winding, and a run capacitor but no start capacitor. The motor has Very Little Starting Torque, so my guess, based on recent experience, is you have dry bearing(s). Ours has no oil caps or holes, relies on oily wicking. The bearing on the Blower end is pretty well sheltered. My problem was on the outdoor Fan end.
I used a lot of that Zoom Spout Oil on this project and ordered a new oiler for $7 on Amazon Prime. It sells for less (but with high shipping) and at some vendors for much more.
Adding, that in fairness, pretty much Nobody advocated working on the motor. Amazon Prime has a new one (but for Coleman Mach Plus) for a little over $100.