fix: synchronize modern movement input and rotation

[iiroak]

Summary

• Send the complete player_input control state when it changes on supported versions instead of sending a partial shift-only packet.
• Advance network rotation before physics and simulate with the same yaw/pitch sent in the movement packet.
• Add integration coverage for movement input and synchronized rotation.

This complements #3948. Modern prediction servers use player_input and packet rotation to simulate each movement tick; using a target yaw that differs from the sent yaw creates a persistent movement offset.

Verification

• npm run lint
• Live Folia 1.21.4 + GrimAC 2.3.74 test: a bot walked roughly 82 blocks and placed 13 blocks with no Grim alerts after the movement synchronization change (with sprint disabled by the caller). Before the change, the same path produced continuous Simulation offsets around .0131.