I've had a look for your motor's connections and I have one which is close but not an exact match. It's close enough to work out what's going on, but the way the centrifugal switch is implemented muddies the water a little.
The winding colours in your motor appear to be consistent with Brooks standard wiring code:
Run winding - red and black pair.
Start winding - yellow and blue pair.
The brass strip from AZ is likely one end of the connection to the centrifugal switch, and the other side of the switch returns on terminal S.
I've enlarged the Brooks diagram and marked up how I think your motor is internally connected. If you have a multimeter, you should find you have continuity between AZ and S when at rest. If you haven't then the switch might be sick - not an uncommon fault by any means, and not hard to fix. Be gentle when dismantling the motor!
Reversing is as per the diagram - swap the yellow & blue cores.
Hope this helps.
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