Ensure the content script forwards Angular detection results to the service worker so the popup/icon reflects the page state.

PR Checklist

Please check if your PR fulfills the following requirements:

• The commit message follows our guidelines: https://github.com/angular/angular/blob/main/contributing-docs/commit-message-guidelines.md
• Tests for the changes have been added (for bug fixes / features)
• Docs have been added / updated (for bug fixes / features)

PR Type

What kind of change does this PR introduce?

• Bugfix
• Feature
• Code style update (formatting, local variables)
• Refactoring (no functional changes, no api changes)
• Build related changes
• CI related changes
• Documentation content changes
• angular.dev application / infrastructure changes
• Other... Please describe:

What is the current behavior?

Angular DevTools toolbar icon does not turn red when used on a fresh Angular template app and reports no Angular app present. The Angular Devtools panel itself seems to work however.

Issue Number: #65081

What is the new behavior?

Toolbar icon now turns red when used on a fresh Angular template.

Does this PR introduce a breaking change?

• Yes
• No

Other information

Closes #65081