fix: handle live stats correctly during test restart

[pankajbindra91]

##Description

Fixes live stats handling during test restarts by ensuring the timer logic respects the restart state before updating the displayed value.

##Changes

• Added restart-state handling to the live timer logic.
• Prevented stale state from affecting live stats after a restart.
• Preserved existing time-limited test behavior.
• Verified the fix with custom text tests.

Testing

• Ran the type-aware Ox lint check.
• Result: **0 warnings, 0 errors. **
• Tested the change locally with test restarts.

[github-actions]

Hey there and thank you for opening this pull request! 👋🏼

We require pull request titles to follow the Conventional Commits specification and also include the author name at the end inside parenthesis. It looks like your proposed title needs to be adjusted.

Details:

Title "fix: handle live stats correctly during test restart"
didn't match the configured pattern. Please ensure that the title
contains your name so that you can be credited in our changelog.

A correct version would look something like:

feat: add new feature (@github_username)
impr(quotes): add english quotes (@username)
fix(leaderboard): show user rank correctly (@user1, @user2, @user3)

[fehmer]

Duplicate #8341