[Compatibility] Run local tool smoke tests for the pilot plugin

[ashleyshaw]

Compatibility Summary

Run local smoke tests for plugins/lightspeed-github-ops across the supported AI tool surfaces.

Parent epic: #285.

Steps to Reproduce

• Test VS Code/GitHub Copilot plugin discovery.
• Test Codex/OpenAI manifest discovery.
• Test Claude Code manifest discovery.
• Record unsupported or untested flows clearly.

Expected Behavior

The pilot plugin loads or validates without missing-file errors in each tested tool.

Environment

• Local checkout of lightspeedwp/.github.
• Current VS Code/GitHub Copilot environment.
• Current Codex app environment.
• Current Claude Code environment, if available.

Screenshots / Logs

Attach local command output, screenshots, or notes to the GitHub issue.

Acceptance Criteria

• Issue is reproducible and documented.
• Compatible behaviour confirmed on affected platforms.
• No adverse impact on other platforms.
• Documentation/changelog updated if needed.
• PR uses correct branch prefix compat/.
• Approved by at least one maintainer.

Additional Context

This issue verifies compatibility; it should not redesign manifests.

Definition of Ready (DoR)

• Compatibility issue/context described.
• Steps to reproduce and environment details provided.
• Acceptance criteria listed.
• Estimate added if applicable.

Definition of Done (DoD)

• Issue resolved and verified on affected platforms.
• Documentation/changelog updated.
• PR uses correct branch prefix compat/.
• Approved by at least one maintainer.

[linear-code]

LS-632