emacs hangs, rustic fails after upgrading doom and rust-analyzer

### I confirm that...

- [X] I have searched the [issue tracker](https://github.com/doomemacs/doomemacs/issues), [documentation](https://docs.doomemacs.org), [FAQ](https://docs.doomemacs.org/-/faq), [Discourse](https://discourse.doomemacs.org), and [Google](https://google.com), in case this issue has already been reported/resolved.

- [X] I have read "[How to Debug Issues](https://doomemacs.org/d/how2debug)", and will use it to provide as much information about this issue as possible.

- [X] The issue can be reproduced on the **latest** available commit of Doom.

- [X] The issue can be reproduced on a stable release of Emacs, such as 27 or 28. *(Doom does not support development builds like 29+ or any version ending in .50 or .9x)*

### Expected behavior

I expected doom to launch smoothly.

### Current behavior

after upgrading `rust-analyzer` and `doom upgrade`, when opening a rust application, I'm facing the following error:

`Error (rustic-mode-local-vars-hook): Error running hook "rustic-setup-lsp" because: (void-function lsp-rust-analyzer-inlay-hints-mode)`

### Steps to reproduce

- rustup-update
- manually installed rust-analyzer to ~/.local/bin
- doom upgrade
- doom clean
- doom purge
- doom build
- doom-sync

### System Information

https://gist.github.com/afidegnum/055ee79812e632c4683a4fcdb8e7f512