[Regression]: #40493 breaks proxy support in BiDi with browserType.connect()

[hbenl]

Last Good Version

last version before #40493 was merged

First Bad Version

first verstion after #40493 was merged

Steps to reproduce

Run "should proxy localhost requests" in tests/library/browsertype-connect.spec.ts.

Expected behavior

The test should work.

Actual behavior

The test fails.

Additional context

No response

Environment

System:
    OS: macOS 26.2
    CPU: (12) arm64 Apple M3 Pro
    Memory: 579.80 MB / 36.00 GB
  Binaries:
    Node: 24.7.0 - /Users/hbenl/.nvm/versions/node/v24.7.0/bin/node
    Yarn: 1.22.22 - /Users/hbenl/Documents/firefox/full-build/firefox/node_modules/.bin/yarn
    npm: 11.5.1 - /Users/hbenl/.nvm/versions/node/v24.7.0/bin/npm
    pnpm: 10.15.1 - /Users/hbenl/.nvm/versions/node/v24.7.0/bin/pnpm
  Languages:
    Bash: 3.2.57 - /bin/bash

[hbenl]

Reverted in #40604.