docs(priming): remove bd sync references for Dolt backend

Gas Town uses Dolt exclusively. Remove all bd sync and bd daemon
references from agent priming, templates, formulas, and docs.

With Dolt backend:
- Beads changes are automatically persisted
- No manual sync needed (no bd sync)
- No daemon needed (no bd daemon)

Updated files:
- polecat-CLAUDE.md template
- Role templates (crew, mayor, polecat)
- Message templates (spawn, nudge)
- Formulas (polecat-work, sync-workspace, shutdown, etc.)
- Reference docs

Part of hq-4f2f0c: Remove bd sync/daemon from agent priming

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

internal/templates/roles/polecat.md.tmpl

@@ -176,7 +176,7 @@ Town ({{ .TownRoot }})
 **Key points:**
 - You're in a project git worktree - your `.beads/` is tracked in the project repo
 - The rig-level `{{ .RigName }}/.beads/` is **gitignored** (local runtime state)
-- Run `bd sync` to push/pull beads changes via the `beads-sync` branch
+- Beads changes are automatically persisted with Dolt
 - **GitHub URLs**: Use `git remote -v` to verify repo URLs - never assume orgs like `anthropics/`
 
 ## Prefix-Based Routing