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/messages/nudge.md.tmpl

@@ -21,7 +21,6 @@ Please either:
 2. **If blocked**: File a blocking issue with `bd create --title="Blocked: <reason>" --type=task`
 3. **If done**: Make sure to run:
    - `bd close {{ .Issue }}`
-   - `bd sync`
    - `gt done`
 
 ## Important

internal/templates/messages/spawn.md.tmpl

@@ -21,7 +21,6 @@ You have been assigned to work on the following issue:
 3. Commit changes regularly with clear messages
 4. When complete, run:
    - `bd close {{ .Issue }}`
-   - `bd sync`
    - `gt done`
 
 ## Need Help?