"App management" menu(s) gets really slow after some months.

### Please answer the following questions for yourself before submitting an issue

- [x] Filters were updated before reproducing an issue
- [x] I checked the [knowledge base](https://adguard.com/kb/) and found no answer
- [x] I checked to make sure that this issue has not already been filed

### AdGuard version

8.0.5366.0 (Beta)

### Browser version

Not applicable (I think)

### OS version

Windows 11 Pro for Workstations 25H2 x64

### Traffic filtering

- [x] yes, I do

### Ad Blocking

_No response_

### Privacy

_No response_

### Social

_No response_

### Annoyances

_No response_

### Security

_No response_

### Other

_No response_

### Language-specific

_No response_

### Which DNS server do you use?

DNS protection disabled

### DNS protocol

None

### Custom DNS

_No response_

### What Stealth Mode options do you have enabled?

_No response_

### Support ticket ID

_No response_

### Issue Details

Steps to reproduce:
1. Have a lot of apps in "App management". At least 130 or so.
2. Click on any of the apps, and/or type something into the search bar.
3. Reponse lag is around 3-10 seconds or so, and often the buttons won't even recognise having been clicked on.

### Expected Behavior

Clicking around in the "App management" menu(s) has reasonably responsive controls, almost regardless of how many apps that are in the menu(s)

### Actual Behavior

Significant lag when clicking on various buttons, options, and search bars in the "App management" menu(s), which become worse the more apps are in the menu(s).

### Screenshots

No screenshots would portray the problem sufficiently.

I could have tried to get a video on request, but it'd be complicated for me to do so.

### Additional Information

This was a big problem in AdGuard 7.x too, and was admittedly *much* worse in 7.x. AdGuard would freeze for up to 2 minutes at a time each time I tried adding a new filepath to an .exe.

#5915 is probably a factor, though there's probably some additional underlying factors involved.