code: def test_default_app_paths() -> None:
      app = Application()
      t = bst.BokehTornado({}, prefix="", extra_websocket_origins=[])
      assert t.app_paths == set()
  
      t = bst.BokehTornado(
          {"/": app}, prefix="", extra_websocket_origins=[]
      )
      assert t.app_paths == {"/"}
  
      t = bst.BokehTornado(
          {"/": app, "/foo": app}, prefix="", extra_websocket_origins=[]
      )
      assert t.app_paths == {"/", "/foo"}
  
imports: from __future__ import annotations
  import pytest
  import json
  import logging
  from _util_server import http_get, url
  from tornado.web import StaticFileHandler
  from bokeh.application import Application
  from bokeh.client import pull_session
  from bokeh.core.types import ID
  from bokeh.server.auth_provider import NullAuth
  from bokeh.server.views.static_handler import StaticHandler
  from bokeh.server.views.ws import WSHandler
  from tests.support.plugins.managed_server_loop import MSL
  from tests.support.util.env import envset
  import bokeh.server.tornado
label_desc: Use image node_id 11 for calling a global function with example usage: test_default_app_paths() without return types