[Feature]: Azure playwright testing support

[dukedagmor]

🚀 Feature Request

It is very unclear in the documentation, but as fas as I understand it there is only support for the js version. https://azure.microsoft.com/en-us/products/playwright-testing/

It would be nice if it where possible to add support for the cloud test runnner in the .net version of playwright.
Don't know if this is an issue for this repo or if I'd just have to wait for Microsoft to start supporting .net-playwright

Motivation

js -> .net feature parity

[mxschmitt]

There is experimental support documented here: https://github.com/microsoft/playwright-testing-service/tree/main/samples/.NET

Folding into #2475.