chore: remove babel

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[height]

This pull request has been linked to and will mark 1 task as "Done" when merged:

• T-5656 Remove babel from the codebase (unlink task)

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[vercel]

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Name	Status	Preview	Comments	Updated
api	✅ Ready (Inspect)	Visit Preview	💬 Add your feedback	Feb 3, 2023 at 2:46PM (UTC)
web	✅ Ready (Inspect)	Visit Preview	💬 Add your feedback	Feb 3, 2023 at 2:46PM (UTC)

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Close T-5656

[foolo]

Seems to work! At least the parts I could think of needed testing.
I tested that lingui extract and compile work, and that the translation on the site works, and I can't see anything wrong with the code.

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Thanks for testing @foolo 🙏🏼

Vercel is down badly for 3+ hrs, will merge once this is deployed in previews 🚀