Well, you know the motor is ACT brand, Model Number: 17HS4417.
Google that, find out if it is Bipolar Parallel, or Bipolar Series, and wire it up accordingly.
I see the L298 controller page has Outputs 2, 2', 3, 3', with colors that are the same as what's shown on your motor, so that might be a hint. Buzz out Red-Blue, and Green-Black, if they show continuity they are likely the A and B windings, so then its just a 50/50 shot of not one reversing pair with respect to the other so that pulses of current on both make the motor turn as expected.