Integrate next_stage() logic into next_move()

Integrate next_stage() logic into next_move()

Measured bench speed up goes from 0,7% to 2%,
given the unreliable measure a reverse simmplification
test was done on fishtest:

master vs patch
LLR: -2.94 (-2.94,2.94) [-3.00,1.00]
Total: 15499 W: 2685 L: 2867 D: 9947

Test result is positive, master is weaker.

No functional change.