quick search loading too long (>5 seconds)

### Expected Behavior

The quick search should appear and be immediately ready for typing after pressing `Cmd+P`. Small delay is acceptable

### Actual Behavior

After pressing Cmd+P, it takes too long to load.

https://github.com/user-attachments/assets/8db56924-b9cd-4ba9-9fa5-d9a8d407e0f8

### Reproduction Steps

_No response_

### Is there an existing issue for this?

- [x] I have searched the [issue tracker](https://www.github.com/Kong/insomnia/issues) for this problem.

### Which sync method do you use?

- [ ] Git sync.
- [x] Insomnia Cloud sync.
- [ ] Local only

### Additional Information

I have three projects, eight collections, and over 100 requests. I also installed the `insomnia-plugin-request-body-hmac` plugin, but even when it’s disabled, the issue persists.

### Insomnia Version

v11.3.0

### What operating system are you using?

macOS

### Operating System Version

MacOS Sequoia 15.5

### Installation method

download

### Last Known Working Insomnia version

_No response_

Start by reproducing the Cmd+P quick-search delay on macOS with three projects, eight collections, and over 100 requests, first with the HMAC plugin disabled. Profile the time from pressing Cmd+P until the search is ready and compare it with a smaller workspace. Done means the quick search appears and accepts typing after only a small delay.

Written by the indexing model from the issue text.