With all those wires, that may be a VFD-controlled motor. Heat pumps evolved to VFD's pretty early. That motor may have been run by an integrated VFD that was installed in the system control unit, and need a separate VFD controller in order to work.
When my heat pump circulation fan motor died (and I am still not sure it was the motor and not the control circuit) I had to get a universal motor and a separate, generic control unit. The control came with good directions, and was pretty easy to hook up. If I remember right, the interface with the original heat pump control involved an input that varied RPM, so it might only take adding a potentiometer to select RPM.