[Web] Flutter drive --chrome-binary flag has no effect

Steps to reproduce

1. Setup the simplest integration test running on Web: https://docs.flutter.dev/testing/integration-tests
2. Install another Chrome instance
3. Get the path of the new binary (I tried both relative and absolute paths)
4. Run flutter drive with this binary
5. Check logs to find which chrome version is used

The script for all these steps is attached.

Expected results

The binary passed in the argument is used.

Actual results

The globally installed Chrome is used:

[+2236 ms] Waiting for connection from debug service on Chrome... (completed in 8,1s)
[        ] Synced 59.0MB.
[        ] <- accept
[        ] Caching compiled dill
[  +25 ms] Launching Chromium (url = http://localhost:62293, headless = false, skipCheck = false, debugPort = null)
[        ] Will use Chromium executable at /Applications/Google Chrome.app/Contents/MacOS/Google Chrome
[  +34 ms] Using Google Chrome 138.0.7204.93 

Code sample

npx @puppeteer/browsers install chrome@135
# For Linux:
CHROME_BINARY_PATH=$(find "$PWD/chrome" -name "chrome" -type f 2>/dev/null | head -1)

# on MacOS use the following command:
# CHROME_BINARY_PATH=$(find "$PWD/chrome" -name "Google Chrome for Testing" -type f 2>/dev/null | head -1)

$CHROME_BINARY_PATH --version
flutter drive  \
  --driver=test_driver/integration_test.dart \
  --target=integration_test/app_test.dart \
  -d chrome \
  --browser-name=chrome \
  --chrome-binary="$CHROME_BINARY_PATH" \
  --verbose

Screenshots or Video

[Upload media here]

Logs

[Paste your logs here]

Flutter Doctor output

Doctor summary (to see all details, run flutter doctor -v):
[✓] Flutter (Channel stable, 3.32.5, on macOS 15.0 24A335 darwin-arm64, locale ru-RU)
[✓] Android toolchain - develop for Android devices (Android SDK version 35.0.0)
[✓] Xcode - develop for iOS and macOS (Xcode 16.0)
[✓] Chrome - develop for the web
[✓] Android Studio (version 2024.3)
[✓] IntelliJ IDEA Community Edition (version 2023.1)
[✓] VS Code (version 1.100.0)
[✓] Connected device (5 available)
[✓] Network resources

• No issues found!