[🚀 Feature]: Testing Selenium Manager

[titusfortner]

Description

We made a change here to always use pin_browsers in CI: #15987

This removed all testing of Selenium Manager. This removed testing our suites with Selenium Manager.

Ideally each binding has Service class tests that exercise Selenium Manager (some of them seem to do this already), and these tests will only work on GitHub Actions and not on RBE.

Have you considered any alternatives or workarounds?

I think we may want to make pin_browsers the default for Bazel, and explicitly set it to false for Selenium Manager tests:
implemented the first part here: #16743

[selenium-ci]

@titusfortner, thank you for creating this issue. We will troubleshoot it as soon as we can.

Selenium Triage Team: remember to follow the Triage Guide