Verify live Kitchen installs and make the public setup clear

[sodiumsun]

New visitors can mistake the map command for Kitchen and expect an editor extension or automatic artifact handoffs. Lead the README with the real kitchen overview, a short silent cooking clip, the exact public install command, and a clear comparison of the two views. Document VS Code/Cursor browser use, optional hooks, troubleshooting, and unshipped or unverified integrations.

The packaged-install check now reads fresh synthetic native logs over SSE, moves one session between multiple chefs contributing to one dish, verifies native completion at the deliverable table, and observes file changes without changing the watched repo. Run it on macOS as well as Linux in CI.

Validation:

• All 71 kitchen tests, graphics build and syntax checks pass locally.
• The unauthenticated public alpha.2 download matches its published checksum and passes the expanded package check.
• A fresh npm cache and empty npm user config launched the exact public command against a real working repo; browser checks confirmed current Codex activity, rendered graphics, labeled Example progression and delivery, with no browser errors.
• Relative documentation links and media were checked. No runtime app changes, personal logs, soundtrack files or provider settings are included.