[litellm] Fix model ID input component

[dlqqq]

Description

The MUI autocomplete component used to show model ID suggestions is buggy and needs to be fixed before #1426 is merged. This was added in #1425.

Known issues:

• Suggestions only update sometimes when typing.
• The suggestions include results that don't match the user input whatsoever.
• (optional) The matched portion of each suggestion is not bolded.

Proposed solution

• Implement a custom function that computes the list of model ID suggestions and make sure this is called every time the user input changes.

• Ensure that the model ID suggestions match the user input. I should not see "azure/" models if I type "bedrock/".

• (optional) For each model ID suggestion, bold/highlight the substrings that match the current input, to show why a model ID suggestion is being shown.

I recommend looking into the fuzzysort package on NPM for this.