fix: two-player lobby deadlock

data/app.js

@@ -549,7 +549,7 @@
     ui.modeControls.hidden = !playerOne;
     if (playerOne) startLobbyInfoPolling();
     else stopLobbyInfoPolling();
-    const playerTwoReady = info?.player2Available === false;
+    const playerTwoReady = state.players[1].trim() !== '' || info?.player2Available === false;
     const canStart = playerOne && (state.mode === 'bot' || playerTwoReady);
     setSpriteIcon(ui.lobbyIcon, canStart ? 'icon-check' : 'icon-hourglass');
     document.querySelectorAll('.mode-button').forEach(button => {
@@ -673,8 +673,7 @@
 
   el('join-form').addEventListener('submit', event => {
     event.preventDefault();
-    const requestedRole = info?.player1Available ? 'player1' : info?.player2Available ? 'player2' : 'spectator';
-    join(requestedRole);
+    join('player');
   });
   document.querySelectorAll('.avatar-button').forEach(button => button.addEventListener('click', () => {
     ui.name.value = button.dataset.name;