fix(replay): Remove un-needed `useEffect` deps

[billyvg]

Leftover from https://github.com/getsentry/sentry/pull/69152

[getsantry[bot]]

This pull request has gone three weeks without activity. In another week, I will close it.

But! If you comment or otherwise update it, I will reset the clock, and if you add the label WIP, I will leave it alone unless WIP is removed ... forever!

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"A weed is but an unloved flower." ― Ella Wheeler Wilcox 🥀