Split Judging Timer into its own component

[MichaelZhao21]

Describe the feature you'd like

The judging timer has a LOT of messy code within the live.tsx file (/judge/live). It's making the component REALLY big, and I would like for it to be split into its own component file.

Pre-existing Issue or Justification

No response

Additional context

No response

[MichaelZhao21]

victoria im doing this

[MichaelZhao21]

Potentially extract the timer state to zustand if it's being called from multiple components