def generate_widget_js(app_url: str) -> str:
    """Generate the embeddable widget JavaScript with app_url baked in."""
    return f"""
(function() {{
  var APP_URL = "{app_url}";

  // Find script tag to get chatbot ID
  var scripts = document.querySelectorAll('script[data-chatbot]');
  var chatbotId = null;
  if (scripts.length > 0) {{
    chatbotId = scripts[scripts.length - 1].getAttribute('data-chatbot');
  }}
  if (!chatbotId) {{
    console.warn('[Contexta] No data-chatbot attribute found on script tag');
    return;
  }}

  // Styles
  var style = document.createElement('style');
  style.textContent = `
    .contexta-btn {{
      position: fixed;
      bottom: 24px;
      right: 24px;
      width: 56px;
      height: 56px;
      border-radius: 50%;
      background: #6366f1;
      border: none;
      cursor: pointer;
      box-shadow: 0 4px 12px rgba(0,0,0,0.2);
      display: flex;
      align-items: center;
      justify-content: center;
      z-index: 999998;
      transition: transform 0.2s, box-shadow 0.2s;
    }}
    .contexta-btn:hover {{
      transform: scale(1.08);
      box-shadow: 0 6px 20px rgba(0,0,0,0.25);
    }}
    .contexta-btn svg {{
      width: 26px;
      height: 26px;
      fill: white;
    }}
    .contexta-container {{
      position: fixed;
      bottom: 92px;
      right: 24px;
      width: 380px;
      height: 580px;
      border-radius: 16px;
      box-shadow: 0 8px 32px rgba(0,0,0,0.15);
      z-index: 999999;
      overflow: hidden;
      display: none;
      flex-direction: column;
      border: 1px solid #e5e7eb;
    }}
    .contexta-container.open {{
      display: flex;
    }}
    .contexta-iframe {{
      width: 100%;
      height: 100%;
      border: none;
      flex: 1;
    }}
    .contexta-close {{
      position: absolute;
      top: 8px;
      right: 8px;
      background: rgba(0,0,0,0.3);
      border: none;
      color: white;
      border-radius: 50%;
      width: 24px;
      height: 24px;
      cursor: pointer;
      font-size: 14px;
      display: flex;
      align-items: center;
      justify-content: center;
      z-index: 1;
    }}
    @media (max-width: 480px) {{
      .contexta-container {{
        bottom: 0;
        right: 0;
        width: 100vw;
        height: 100vh;
        border-radius: 0;
      }}
    }}
  `;
  document.head.appendChild(style);

  // Button
  var btn = document.createElement('button');
  btn.className = 'contexta-btn';
  btn.setAttribute('aria-label', 'Open chat');
  btn.innerHTML = '<svg viewBox="0 0 24 24"><path d="M20 2H4c-1.1 0-2 .9-2 2v18l4-4h14c1.1 0 2-.9 2-2V4c0-1.1-.9-2-2-2z"/></svg>';
  document.body.appendChild(btn);

  // Container with iframe
  var container = document.createElement('div');
  container.className = 'contexta-container';

  var closeBtn = document.createElement('button');
  closeBtn.className = 'contexta-close';
  closeBtn.innerHTML = '&times;';
  closeBtn.setAttribute('aria-label', 'Close chat');
  container.appendChild(closeBtn);

  var iframe = document.createElement('iframe');
  iframe.className = 'contexta-iframe';
  iframe.src = APP_URL + '/chat/' + chatbotId;
  iframe.setAttribute('allow', 'microphone');
  container.appendChild(iframe);

  document.body.appendChild(container);

  // Toggle logic
  var isOpen = false;
  function toggle() {{
    isOpen = !isOpen;
    if (isOpen) {{
      container.classList.add('open');
      btn.innerHTML = '<svg viewBox="0 0 24 24"><path d="M19 6.41L17.59 5 12 10.59 6.41 5 5 6.41 10.59 12 5 17.59 6.41 19 12 13.41 17.59 19 19 17.59 13.41 12z"/></svg>';
    }} else {{
      container.classList.remove('open');
      btn.innerHTML = '<svg viewBox="0 0 24 24"><path d="M20 2H4c-1.1 0-2 .9-2 2v18l4-4h14c1.1 0 2-.9 2-2V4c0-1.1-.9-2-2-2z"/></svg>';
    }}
  }}

  btn.addEventListener('click', toggle);
  closeBtn.addEventListener('click', toggle);
}})();
"""