fix: notify activity was called for internal endpoints

[VitaliyR]

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Summary

Found another issue where liveness check was triggering notify activity, which made the preview server never auto shutdown

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[github-actions]

📊 Benchmark results

Comparing with 7ab8f6c

• Dependency count: 1,105 (no change)
• Package size: 277 MB ⬇️ 0.00% decrease vs. 7ab8f6c
• Number of ts-expect-error directives: 399 (no change)