...we crossed posts.
I suspect you're not gravity hot water, but fully pumped.
Diverter/three-port valves are likely in most such setups to have switching functions. If they don't move, the appropriate circuits aren't completed.
If the motor is defective, it's possible you have a lever on the unit that will manually shift the valve (and complete the appropriate switching). If the valve itself is stuck, then you can't test it via this, but it is odds-on that that's your problem.
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