Check the Motor harness. Make sure that one of the spade connectors that plug into the motor wiring harness is not bent over and not making contact. I had the same issue from a customer that replaced the motor on his own and when he connected the wiring harness he did not put it on straight and one of the spade connectors was bent over and not making contact so when he pressed the start button it would click 3x times with no start.
It literally took me 2 days to figure out that the new motor connector was not making contact to the wiring harness. Let us know what you find.