chore(deps): upgrade dependencies (#4166)
Errata:
Left typescript at v5.4.x as deep dependency typedoc requires v5.4.x.
Left eslint v8.x as not all plugins are compatible with v9.
Code changes, in no particular order:
1. Prettier formatting changes.
2. Prettier moved to an async API, but the `writeGeneratedFile` utility, which previously included prettifying was passed as a callback function to TS and had to stay sync, so prettifying was separated into a separate async function -- the callback function luckily did not seem to actually requiring another round of prettifying, as it just involved renaming. All the other callsites of the new utility had to be made async. In the alternate, I investigated @prettier/sync and the lower-level make-synchronized and make-synchronous packages, but I could not get them working.
3. Plenty of eslint rule changes! I have tried to make sure that the rule list orders now match the linked documentation, so that further updates might be easier.
4. Minor docusaurus config tweaks to get the build to pass.
