Private browser is very slow only when connecting to Google

### 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

4.7.1

### Environment

- OS version: Android 14.0
- Device: Samsung Galaxy Ultra 24

### HTTPS filtering

- [x] yes, I do

### Root access

- [ ] yes, I have it

### Integration with AdGuard VPN

- [x] yes, I do

### Routing mode

Local VPN

### Ad Blocking

AdGuard Base filter, AdGuard Mobile Ads filter

### Privacy

AdGuard Tracking Protection filter, AdGuard URL Tracking filter

### Social

AdGuard Social Media filter

### Annoyances

AdGuard Annoyances filter, AdGuard Cookie Notices filter, AdGuard Popups filter, AdGuard Mobile App Banners filter, AdGuard Other Annoyances filter, Fanboy's Annoyances, Adblock Warning Removal List, AdGuard Widgets filter

### Security

Online Malicious URL Blocklist

### Language-specific

_No response_

### Other

AdGuard DNS filter

### Which DNS server do you use?

Cloudflare DNS

### DNS protocol

DNS-over-HTTPS

### Custom DNS

_No response_

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

_No response_

### Issue Details

Default search engine is Google with search suggestions enabled. The search suggestions are quite fast. But once I search for a query, it takes anywhere from 3-8s for Google page to load! Other browsers are very quick (like 1s or 2s at most).

Steps to reproduce:
1. Open Adguard Private browser via widget.
2. Search for something and then click on the suggestion or hit enter for your search.
3. Check how long it takes for the Google search result to load.

### Expected Behavior

When I click click on the suggestion or hit enter to search, it should load quickly (<2s).

### Actual Behavior

When I click click on the suggestion or hit enter to search, it is taking anywhere from 3s to 8s. In the attached screen grab it takes ~6s to load the google search result page.

https://github.com/user-attachments/assets/6ff0f25f-b2dd-4742-91e4-bbf76242942d

### Screenshots

Screenshot 1

### Additional Information

_No response_