chore: Update to Vite 3, TS 4.7.4

[lmiller1990]

• Relates to Vite 3 not working with Cypress Component Testing #22784

User facing changelog

Additional details

Vite 3 is out. It appears to be a fairly smooth transition, so worth doing so. This will give us an idea of problems some of our CT users on Vite might encounter. Also, it's good to keep up to date with dependencies.

Steps to test

How has the user experience changed?

PR Tasks

• Have tests been added/updated?
• Has the original issue (or this PR, if no issue exists) been tagged with a release in ZenHub? (user-facing changes only)
• Has a PR for user-facing changes been opened in cypress-documentation?
• Have API changes been updated in the type definitions?

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[lmiller1990]

Close in favor of #22915