Re-enable e2e tests in publish pipeline

[catalinaperalta]

e2e tests were temporarily disabled due to the tsp install issues with the new feed. Re-enable these tests asap once there is a fix or workaround for the tsp install issue.

[github-actions]

🎯 Issue Triage

This is a tracking issue to re-enable e2e tests in the publish pipeline that were temporarily disabled due to tsp install issues with the new feed.

Category: Feature Request (tracking/task)
Area: eng

🔍 Analysis

• The e2e tests were disabled as a workaround for tsp install failures related to a new feed configuration.
• Once a fix or workaround for the tsp install issue is available, the tests should be re-enabled promptly.
• This is a pipeline/engineering task with no user-facing TypeSpec language impact.

📝 Suggested next steps

• Identify and resolve the tsp install issue with the new feed
• Re-enable the e2e tests in the publish pipeline
• Verify e2e tests pass end-to-end after re-enabling

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