Add LoggedTest to Components E2E and Blazor template tests

[BrennanConroy]

The LoggedTest infrastructure is now available to Components E2E and Blazor template tests, however it isn't being used yet as that probably requires some knowledge around those tests to use it correctly.

Here is the change to fix the infrastructure and add the logging to the other template tests.
#26507

[ghost]

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We're moving this issue to the Next sprint planning milestone for future evaluation / consideration. We will evaluate the request when we are planning the work for the next milestone. To learn more about what to expect next and how this issue will be handled you can read more about our triage process here.

[ghost]

We've moved this issue to the Backlog milestone. This means that it is not going to be worked on for the coming release. We will reassess the backlog following the current release and consider this item at that time. To learn more about our issue management process and to have better expectation regarding different types of issues you can read our Triage Process.

[HaoK]

Keeping this open to track doing this as well for components

[HaoK]

Blazor templates is done, components will be done automatically when we switch over to the new playwright infrastructure so resolving this issue, remaining work will be done as part of #31159