Redirect driver mode breaks page loading with WFP driver

### AdGuard version

7.22 & 7.22.1

### Browser version

Firefox

### Issue Details

The issue was initially mentioned in https://github.com/AdguardTeam/AdguardForWindows/issues/5661#issuecomment-3497468707 by @BooBerry

> Enabling redirect mode still completely breaks page loading, and I don't have a clue why that could be. Disable the WFP driver and use the TDI driver, and it seems to be all fine. The only other “network” related thing installed on my PC is VMware Workstation 25H2, and it's a little ironic the virtual machine inside of VMware doesn't have the WFP issue nor the redirect mode issue.

### Actual Behavior

Using WFP driver with redirect driver mode breaks the page loading