[lijiashu1]

Summary

• Treat the remaining-time values returned by the server as a clock snapshot and measure client-side elapsed time from when that snapshot is received.
• Avoid subtracting elapsed time twice after restoring a game or fetching a session, while leaving the server-provided turnStartedAt unchanged.
• Continue updating the displayed countdown locally between server events.

Validation

• Reviewed the timer calculation and updated the client implementation.
• Automated tests were not run in this workflow.

[wjc2821296948]

This change reintroduces the clock double-decrement bug. The server returns sessionState(session) using clockedState(session), which has already subtracted elapsed time from totalRemainingMs and moveRemainingMs while leaving the original turnStartedAt in the state. Preserving that timestamp on the client makes displayedClock() subtract the same elapsed interval again. The client snapshot needs a baseline aligned with the already-clocked remaining values, or the server response must return remaining values/timestamp from the same instant.