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

bot_bottle/supervise.py

@@ -74,9 +74,9 @@ except ImportError:
 
 
 try:
-    from .paths import bot_bottle_root, host_db_path
+    from .paths import bot_bottle_root
 except ImportError:  # flat imports inside the sidecar bundle
-    from paths import bot_bottle_root, host_db_path  # type: ignore[import-not-found,no-redef]  # pylint: disable=import-error,no-name-in-module
+    from paths import bot_bottle_root  # type: ignore[import-not-found,no-redef]  # pylint: disable=import-error,no-name-in-module
 
 
 SUPERVISE_HOSTNAME = "supervise"
@@ -289,8 +289,6 @@ __all__ = [
     "archive_proposal",
     "audit_dir",
     "audit_log_path",
-    "bot_bottle_root",
-    "host_db_path",
     "list_pending_proposals",
     "list_all_pending_proposals",
     "read_audit_entries",