Clarify execution profiles and improve worker visibility

[highbyte]

Summary

• Clarify repository execution-profile defaults and fallbacks, and present agent and profile selection consistently in the Create, Edit, and View item surfaces.
• Record and display the effective execution selection while preserving repository-default behavior across Local Markdown and GitHub-backed work items.
• Distinguish Worker preparing from Agent working throughout worker lifecycle state, board ordering, card styling, Operations, and worker registration details.
• Add an anchored Workers header popover with live worker information, compact Start, graceful Stop, and exact-worker Details navigation; stabilize both Workers and Agents popovers during background refreshes.
• Improve the worker overview's accessible list and live-status semantics.
• Refresh the Local Markdown web-console documentation and screenshot gallery.

Verification

• dotnet test --no-restore --nologo — 2,301 tests passed, 0 warnings.
• node --test tests/javascript/*.test.mjs — 96 tests passed.
• Live browser verification covered repeated Agents and Workers toggling, background refresh stability, and starting and stopping a hosted worker from the popover.

[sonarqubecloud]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
88.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarQube Cloud