2.0L Skyactiv AC Bypass?

So i own a 2012 mazda3 with the 2.0L skyactiv motor. The ac pulley seized and i dont wanna go through the hastle of buying a used one and the install of there is anybody here that knows a belt bypass. I called all my local shops and none of them knew because it is on the alternator and waterpump pulley and all these motors came with ac. If anybody knows a belt size to just void the front-mount ac it would be appreciated. i cannot find anything online about it
 
Take a string. Preferably a string that won't stretch.

Loop it around where the belt you want should go.

Measure string.

Get a few belts around that size. Return what won't fit.

Make sure the AC pulley isn't in the way of the new belt or you may have to remove the compressor.
 
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