chore: extract the Booth to its own repo (vh/booth)

The Booth is now one of the most-used fleet tools -- 17 agent handles post to
it daily -- and it is taking an information-architecture rework plus a
cross-agent SVOS design retrofit from design-dev. That work wants its own
ROADMAP, contracts and blast radius, not the fleet-infrastructure repo's.

All 29 commits moved with it via `git subtree split`; the history carries real
lessons (two shipped-dead controls, the verbatim-injection traps) that a
squashed import would have thrown away.

Live service repointed and verified: the user unit and the ~/.local/bin/booth
symlink now resolve into ~/development/booth, healthz answers, all 24 booths
intact. services/booth/ keeps a pointer README, same shape as the
chatterbox-fast and tts-stack extractions.

docs/fleettools/booth.md

@@ -63,4 +63,4 @@ chat drown in scrollback; the board is a kept booth rendered at the top of the B
 front page. Don't post noise: if the operator would not click it a week from now, it
 does not belong there.
 
-**Full schema + rules:** `~/development/eshpfi-management/services/booth/README.md`
+**Full schema + rules:** `~/development/booth/README.md` (gitea `vh/booth`; extracted from eshpfi 2026-09-21)