feat(skiller): support external Skiller web service

[skulidropek]

Summary

• add external Skiller Web mode via DOCKER_GIT_SKILLER_WEB_URL
• return /launch URLs with backendUrl, projectKey, and sessionId instead of launching bundled Electron when external mode is configured
• expose project/session Skiller context endpoints for Skiller Web browser scope
• support production Skiller Web -> local docker-git CORS, including Chrome Private Network Access preflight
• keep legacy bundled Skiller behavior when external URL is unset

Closes #376
Skiller Web merged PRs:

• feat: require docker-git backend connection skiller-web#4
• feat(web): connect docker-git backend links skiller-web#5

Verification

• bun run --filter @effect-template/api lint
• bun run --filter @effect-template/api typecheck
• bun run --filter @effect-template/api test
• bun test packages/api/tests/skiller-core.test.ts packages/api/tests/skiller-cors.test.ts packages/api/tests/skiller-routes.test.ts
• GitHub Actions for commit 2d3fe06: Snapshot, Checking Dependencies, Final Build, and Check all passed
• Vercel production deploy: https://skiller-web-henna.vercel.app
• Browser smoke: production /#/?backendUrl=http%3A%2F%2F127.0.0.1%3A4181 auto-loaded projects from mock docker-git backend
• Browser smoke: production /launch?backendUrl=http%3A%2F%2F127.0.0.1%3A4181&projectKey=project-proof auto-connected and stored docker-git connection

[coderabbitai]

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ℹ️ Review info

⚙️ Run configuration

Configuration used: Path: .coderabbit.yaml

Review profile: ASSERTIVE

Plan: Pro Plus

Run ID: 931240a2-d589-43d4-bca0-1159bf514f05

📥 Commits

Reviewing files that changed from the base of the PR and between b4426a3 and 2d3fe06.

📒 Files selected for processing (8)

• packages/api/src/http.ts
• packages/api/src/services/skiller-core.ts
• packages/api/src/services/skiller.ts
• packages/api/tests/skiller-core.test.ts
• packages/api/tests/skiller-cors.test.ts
• packages/api/tests/skiller-routes.test.ts
• packages/app/src/web/actions-skiller.ts
• packages/app/src/web/api-skiller-schema.ts

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch issue-376

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[skulidropek]

AI Session Backup

Commit: 670a168
Status: success
Files: 8 (12.47 MB)
Links: README | Manifest

git status

On branch issue-376
Your branch is up to date with 'origin/issue-376'.

Changes not staged for commit:
  (use "git add <file>..." to update what will be committed)
  (use "git restore <file>..." to discard changes in working directory)
  (commit or discard the untracked or modified content in submodules)
	modified:   third_party/skiller-desktop-skills-manager (modified content)

no changes added to commit (use "git add" and/or "git commit -a")

[skulidropek]

AI Session Backup

Commit: dcdd8c1
Status: success
Files: 9 (17.83 MB)
Links: README | Manifest

git status

On branch issue-376
Your branch is up to date with 'origin/issue-376'.

Changes not staged for commit:
  (use "git add <file>..." to update what will be committed)
  (use "git restore <file>..." to discard changes in working directory)
  (commit or discard the untracked or modified content in submodules)
	modified:   third_party/skiller-desktop-skills-manager (modified content)

no changes added to commit (use "git add" and/or "git commit -a")

[skulidropek]

AI Session Backup

Commit: 2d3fe06
Status: success
Files: 9 (17.96 MB)
Links: README | Manifest

git status

On branch issue-376
Your branch is up to date with 'origin/issue-376'.

Changes not staged for commit:
  (use "git add <file>..." to update what will be committed)
  (use "git restore <file>..." to discard changes in working directory)
  (commit or discard the untracked or modified content in submodules)
	modified:   third_party/skiller-desktop-skills-manager (modified content)

no changes added to commit (use "git add" and/or "git commit -a")