Add password support to multiplayer rooms

Introduces a password field to the Room model and database schema, enabling password-protected multiplayer rooms. Adds LIO router endpoints for room creation, user join/leave, and updates related imports and router registrations.

migrations/versions/57bacf936413_feat_db_add_password_column_to_rooms_.py

@@ -0,0 +1,34 @@
+"""feat(db): add password column to rooms table
+
+Revision ID: 57bacf936413
+Revises: 178873984b22
+Create Date: 2025-08-23 18:45:03.009632
+
+"""
+from __future__ import annotations
+
+from collections.abc import Sequence
+
+from alembic import op
+import sqlalchemy as sa
+import sqlmodel
+
+# revision identifiers, used by Alembic.
+revision: str = "57bacf936413"
+down_revision: str | Sequence[str] | None = "178873984b22"
+branch_labels: str | Sequence[str] | None = None
+depends_on: str | Sequence[str] | None = None
+
+
+def upgrade() -> None:
+    """Upgrade schema."""
+    # ### commands auto generated by Alembic - please adjust! ###
+    op.add_column("rooms", sa.Column("password", sa.String(length=255), nullable=True))
+    # ### end Alembic commands ###
+
+
+def downgrade() -> None:
+    """Downgrade schema."""
+    # ### commands auto generated by Alembic - please adjust! ###
+    op.drop_column("rooms", "password")
+    # ### end Alembic commands ###