refactor: drop the vestigial bot_bottle_root/host_db_path re-exports (#352)

paths is the single home now, so stop re-exporting the path helpers from
supervise: remove host_db_path from supervise's imports + __all__ (it was
re-export-only) and drop bot_bottle_root from __all__ (kept as an import,
still used by audit_dir). supervise_types was already clean. Repoint the
last readers (test_supervise imports host_db_path from paths;
test_supervise_edge calls paths.bot_bottle_root) and refresh the doc
mentions. No supervise.bot_bottle_root / supervise.host_db_path references
remain.

Behavior-preserving: full unit suite unchanged (only the pre-existing
/bin/sleep sidecar-init errors).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01WBMWTEtQdJ4W5UrWuLHCck

tests/unit/test_supervise.py

@@ -8,6 +8,7 @@ from datetime import datetime, timezone
 from pathlib import Path
 
 from bot_bottle import supervise
+from bot_bottle.paths import host_db_path
 from tests.unit import use_bottle_root
 from bot_bottle.audit_store import AuditStore
 from bot_bottle.queue_store import QueueStore
@@ -21,7 +22,6 @@ from bot_bottle.supervise import (
     TOOL_EGRESS_ALLOW,
     TOOL_GITLEAKS_ALLOW,
     archive_proposal,
-    host_db_path,
     list_pending_proposals,
     read_audit_entries,
     read_proposal,