feat(tui): Add skills in sidebar

[shiyuhang0]

Issue for this PR

Closes ##7533

Type of change

• Bug fix
• New feature
• Refactor / code improvement
• Documentation

What does this PR do?

This PR adds skills information to the sidebar in the TUI model.

1. The TUI will show at most 10 skills.
2. Will find the skills by part.tool=skill for the message in the session.

If you paste a large clearly AI generated description here your PR may be IGNORED or CLOSED!

How did you verify your code works?

By end to end test. See the Screenshots below

Screenshots / recordings

bun install

bun dev

/exit

bun dev -s xxxx 

skills remains

Checklist

• I have tested my changes locally
• I have not included unrelated changes in this PR

If you do not follow this template your PR will be automatically rejected.

[github-actions]

Hey! Your PR title Add skills in sidebar doesn't follow conventional commit format.

Please update it to start with one of:

• feat: or feat(scope): new feature
• fix: or fix(scope): bug fix
• docs: or docs(scope): documentation changes
• chore: or chore(scope): maintenance tasks
• refactor: or refactor(scope): code refactoring
• test: or test(scope): adding or updating tests

Where scope is the package name (e.g., app, desktop, opencode).

See CONTRIBUTING.md for details.

[github-actions]

The following comment was made by an LLM, it may be inaccurate:

Potential Duplicate PRs Found:

1. PR feat: show skills in status and sidebar #6154 - "feat: show skills in status and sidebar"

   • feat: show skills in status and sidebar #6154
   • This PR appears to directly address the same feature - showing skills in the sidebar. This is likely a related or previous attempt at the same functionality.

2. PR feat(tui): show skills used during a session #14205 - "feat(tui): show skills used during a session"

   • feat(tui): show skills used during a session #14205
   • This PR also deals with displaying skills in the TUI during a session, which overlaps with the current PR's goal of showing skills in the sidebar.

These PRs should be reviewed to understand if they're already merged, closed, or if the current PR (17156) is building on or duplicating their work.

[github-actions]

Thanks for updating your PR! It now meets our contributing guidelines. 👍

[shiyuhang0]

@thdxr
Hi, could you have a look at this PR? As the skills are becoming increasingly important.

There are also other pr like #6154. I don't mind which one will be accpeted, just want to push this feature one step further.

Thanks.