Auto merge of #54643 - Xanewok:fix-rls, r=kennytm

Fix RLS toolstate after #54356 merge

Fixes toolstate regression caused by #54356.

The `save::process_crate` now needs to be passed an additional `&Input`, this change contains the RLS equivalent of [this](https://github.com/rust-lang/rust/pull/54356/files#diff-707a0eda6b2f1a0537abc3d23133748cR983).

r? @kennytm (or @nrc if you're not away yet)