I've broken a lot of stuff in 30+ years of being in the RC hobby
I've never broke or heard of that part of a servo breaking
First time for everything I guess

I can't imagine the steering linkages pushing the servo that far, beyond 60deg.

Could it possibly be once you left the car on with the transmitter off?
Some times when this happens the servo starts really whacking out and over rotates,
That’s the only scenario I could see where this might happen.

Hope you trace down the problem