[workspace] Bump TypeScript version to 5.1.3 (#23143)

# Why

Closes ENG-9088

# How

Bump TypeScript to the latest, and rebuild all required SDK packages

Had to update `typeRoots` inside `

[workspace] Bump TypeScript version to 5.1.3 (#23143)

# Why

Closes ENG-9088

# How

Bump TypeScript to the latest, and rebuild all required SDK packages

Had to update `typeRoots` inside `expo-module-scripts` due to a change
in TypeScript 5.1 where it no longer walks up automatically looking in
parent directories ([Release
notes](https://devblogs.microsoft.com/typescript/announcing-typescript-5-1-rc/#typeroots-are-consulted-in-module-resolution))


# Test Plan

Ensure that `et cp -a` yields no errors, docs and tools build correctly,
and that CI is green

# Checklist

<!--
Please check the appropriate items below if they apply to your diff.
This is required for changes to Expo modules.
-->

- [ ] Documentation is up to date to reflect these changes (eg:
https://docs.expo.dev and README.md).
- [ ] Conforms with the [Documentation Writing Style
Guide](https://github.com/expo/expo/blob/main/guides/Expo%20Documentation%20Writing%20Style%20Guide.md)
- [ ] This diff will work correctly for `npx expo prebuild` & EAS Build
(eg: updated a module plugin).

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