It would interesting to know what speed was lost and see what the next speed available , there might not be much of a difference and the feed would certainly fix it. The pulley can be used has is, no arm done. It will leave all the other repair option open, if you ever wanted back the missing speed.Estimating the size of the part from the picture, and considering the exposed grain and other machining marks, I think you really have to braze it back together or turn it off and replace the flange. The other solutions seem fragile and I would not attempt to tap that metal
Alternately, you could just not use that part of the pully. Adjusting the feed rate can accommodate reduced control of the spindle rate
not screwing you out of the next plan
Turning the broken end off the pulley on the lathe, you would then be able to move the pulley down the shaft and get an extra 3 speed.
But I like better option A leave it alone.
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