feat(studio): add auth-specific paths and integrate auth database location

studio/backend/auth/storage.py

@@ -7,10 +7,11 @@ SQLite storage for authentication data (user credentials + JWT secret).
 import hashlib
 import sqlite3
 from datetime import datetime, timezone
-from pathlib import Path
 from typing import Optional, Tuple
 
-DB_PATH = Path(__file__).parent / "auth.db"
+from utils.paths import auth_db_path, ensure_dir
+
+DB_PATH = auth_db_path()
 
 
 def _hash_token(token: str) -> str:
@@ -20,6 +21,7 @@ def _hash_token(token: str) -> str:
 
 def get_connection() -> sqlite3.Connection:
     """Get a connection to the auth database, creating tables if needed."""
+    ensure_dir(DB_PATH.parent)
     conn = sqlite3.connect(DB_PATH)
     conn.row_factory = sqlite3.Row
     conn.execute(
@@ -256,4 +258,3 @@ def revoke_user_refresh_tokens(username: str) -> None:
         conn.commit()
     finally:
         conn.close()
-