Starter goes "KLUNK"

I'm having an issue with my 66 Barracuda starting.

273ci

I was certain that it was the starter, as it would only go Klunk, so I replace that miserable thing. I replaced it with the "high torque" mini starter as the size makes it an easier job ( not by much though). I had concerns, as the top hole on the starter is larger than expected and I thought that this could create a "positioning" error. When I was finally done, I put the front drivers tire back on, just snug and lowered the car to the floor. I jumped into the drivers seat. turned the key and the engine turned over fast and strong. I tightened the front tire proper and cleaned up. The next time I turned the key.......it just goes "KLUNK"!

I rechecked the wires, the ground, main battery cable...all looks good.
???
So I went after the starter relay, cleaned the connections... and then replaced it....same thing.

I ready to loosen the front tire