Update wiki "Using the Compiler API" for TypeScript v7

### Acknowledgement

- [x] I acknowledge that issues using this template may be closed without further explanation at the maintainer's discretion.

### Comment

I don't seem to have found an issue or PR that already covers it, so I would like to suggest reviewing the wiki documentation [Using the Compiler API](https://github.com/microsoft/TypeScript/wiki/Using-the-Compiler-API) to update it for TypeScript v7, as it seems many types and patterns have changed.

Start by reviewing the TypeScript wiki page “Using the Compiler API” and comparing its examples, types, and patterns with the TypeScript v7 API. Identify which sections are outdated and update the page so its guidance matches v7; done means the documented usage is accurate and internally consistent.

Written by the indexing model from the issue text.