Tighten get_app_state text and localization parity

[TheGuyWithoutH]

Summary

Bring get_app_state text rendering closer to the bundled Codex Computer Use style.

Why

The clone now has stronger semantic IDs and much better snapshot text, but exact phrasing, role labels, and localization still differ.

Scope

• Improve role labels and phrasing.
• Tighten how IDs, values, descriptions, and actions are rendered.
• Improve localized presentation where appropriate.
• Keep structured data stable while refining the text layer.

Acceptance Criteria

• Snapshot text feels closer to bundled Codex output.
• Semantic IDs remain stable.
• Structured results stay backward-compatible for consumers.