feat: add REST API for categories, game creation, and guessing

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

app.py

@@ -0,0 +1,50 @@
+import os
+
+import click
+import tornado.ioloop
+import tornado.web
+
+from db import get_engine, get_session_factory, init_db
+from handlers.main import MainHandler
+from handlers.game import GameHandler
+from handlers.api import (
+    CategoriesHandler,
+    NewGameHandler,
+    GameStateHandler,
+    GuessHandler,
+)
+
+BASE_DIR = os.path.dirname(os.path.abspath(__file__))
+
+
+def make_app(session_factory=None):
+    return tornado.web.Application(
+        [
+            (r"/", MainHandler),
+            (r"/game", GameHandler),
+            (r"/api/categories", CategoriesHandler),
+            (r"/api/game/new", NewGameHandler),
+            (r"/api/game/([^/]+)", GameStateHandler),
+            (r"/api/game/([^/]+)/guess", GuessHandler),
+        ],
+        template_path=os.path.join(BASE_DIR, "templates"),
+        static_path=os.path.join(BASE_DIR, "static"),
+        session_factory=session_factory,
+        debug=True,
+    )
+
+
+@click.command()
+@click.option("--port", default=8888, type=int, help="Port to listen on.")
+def main(port):
+    engine = get_engine()
+    init_db(engine)
+    session_factory = get_session_factory(engine)
+    app = make_app(session_factory=session_factory)
+    app.listen(port)
+    print(f"Server started at http://localhost:{port}")
+    tornado.ioloop.IOLoop.current().start()
+
+
+if __name__ == "__main__":
+    main()