Moves `@types/prettier` to this repository (#14212)
* Rename `types` to `thirs-party-types`
* Copy `index.d.ts` from `@types/prettier`
* Make public APIs async
* Add missing `formatAST`
* Fix `CustomParser`
* Fix `Parser.parse` signature
* Add comment
* Add `standalonw.d.ts`
* first implement
* Fix path
* Add missing parser `.d.ts`
* Fix
* Fix path
* Introduce valid tests
* Add unit tests for dts files
* Add unit tests
* Simplify unit testing
* Tweaks structures
* Revert needless change
* Fix types path
* Introduce `ts-expect`
* Fix doc utils api
* Add AstPath API
* Fix API
* Fix tests
* Fix changelog
* Move dts
* Update module specifiers
* Remove generate dts config file
* Update build scripts
* Fix type errors
* Refactor with namespace imports
* Update comments
* Fix build script
* Improve build script
* `typing` -> `types`
* Clean up
* Minor tweak
* Minor tweak
* Modify `exports` field
* Fix paths in builder
* Refactor
* Refactor
* Address review
* Update changelog
* Address reviews
* Remove `since` from tests
* Improve utils type def
* Mark deprecated methods
* Address review
* Move docs types
* Address review
* Update c8 config
* Minor tweak
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Co-authored-by: fisker Cheung <lionkay@gmail.com>
