Upgrade to and test against TS 5.3

[jpwilliams]

Summary

Upgrade to TS 5.3! 🥳

https://devblogs.microsoft.com/typescript/announcing-typescript-5-3/

No changes needed, so no need to bump the package.

Checklist

• [ ] Added a docs PR that references this PR N/A
• [x] Added unit/integration tests
• [x] Added changesets if applicable

[changeset-bot[bot]]

⚠️ No Changeset found

Latest commit: ef50db1bb5985526b6af3be1cd3035621d5d502c

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

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