Upgrade Remix template to React Router 7

[JonnyBurger]

React Router 7 is the successor to Remix.

We should upgrade our template:
https://github.com/remotion-dev/remotion/tree/main/packages/template-remix (Source of truth)
https://github.com/remotion-dev/template-remix (Standalone repo, which is copied from source of truth)

You can decide which one to work on, but the Remotion tests should pass on the template (validate-templates.test.ts)

Let's upgrade the template to use React Router 7 instead of Remix.
It should follow the new best React Router 7 practices, and keep the same functionality.

References in the code should be changed from "Remix" to "React Router 7".

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/bounty 250

[algora-pbc]

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[hunxjunedo]

Hey @JonnyBurger
Can i work ?
/attempt #4900

Algora profile	Completed bounties	Tech	Active attempts	Options
@hunxjunedo	8 remotion bounties + 12 bounties from 4 projects	TypeScript, MDX, JavaScript		Cancel attempt

[algora-pbc]

@hunxjunedo: The Remotion team prefers to assign a single contributor to the issue rather than let anyone attempt it right away. We recommend waiting for a confirmation from a member before getting started.

[abhishek818]

Me?

[JonnyBurger]

No more attempts

This issue has been assigned @hunxjunedo 🎉

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