Automatically generate the doc

### Is your feature request related to a problem?

_No response_

### Describe the solution you'd like

I think we could remove the doc from the readme and do everything with JSDoc (thanks to the work of @Rudy-Perrin).
It looks great:

(I used `npx typedoc src`)

There's different alternatives, I used the first package I found.
Then we can add it to githubaction (or maybe a prehook?) to always be up to date

### Additional context

_No response_

### Epic

_No response_

Start with the existing documentation in the README and the TypeScript sources under src, then run `npx typedoc src` to inspect the generated output. Decide which documentation should move out of the README and whether generation belongs in a GitHub Action or a pre-hook; done means the generated documentation is complete and kept up to date automatically.

Written by the indexing model from the issue text.