feat(app-staging-synthesizer): enable tag immutability

[tenjaa]

Closes #26655

I cannot run the integration tests and therefore cannot update the snapshot :(

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[tenjaa]

Exemption Request

This behavior was checked via snapshot in the past, so I think just checking it via snapshot should be fine.
Unfortunately I cannot update the snapshots, because I cannot run the integrations tests.

✅ Updated pull request passes all PRLinter validations. Dismissing previous PRLinter review.

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AWS CodeBuild CI Report

• CodeBuild project: AutoBuildv2Project1C6BFA3F-wQm2hXv2jqQv
• Commit ID: ef70ef7
• Result: SUCCEEDED
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