Add fuzzy filtering to the script filtering

[Arnklit]

Would close- godotengine/godot-proposals#11089
Incorrect proposal, that one is for method filtering, I will do a separate PR for that, I realise I didn't log a proposal for the script filtering one. I can log one if needed.

Before:

Godot_v4.4.1-stable_win64_Cgilg5Bofq.mp4

After:

godot.windows.editor.dev.x86_64_ichztKCGkk.mp4

[kitbdev]

Makes sense to me.

[Arnklit]

Rebased and disabled case sensitivity as suggested by @kitbdev. However there seems to be a bug in the fuzzy search code so it doesn't work to disable case sensitivity. I opened a PR to fix that. #105900

[Arnklit]

Took advantage of the original index now that #105930 is merged which simplifies it a and I rebased it.

Still waiting for #105996 to be merged before this can be tested with proper case insensitivity.

[Arnklit]

Rebased now that the case sensitivity fix is merged. Ready for review.

[kitbdev]

Also looks good.
Adds the same include that #105240 does, but I don't think it will cause a conflict when merging both, since they are the same.

[Repiteo]

Thanks!