revert(ui): move Doctor trigger back to the page toolbar

Undo the Doctor relocation from fe160134 while keeping that commit's
unrelated header changes (full-width header, 32px click targets,
role/tabindex plus Enter/Space activation).

- Restore the .doctor-control-group button in controls.html
- Drop the .doctor-toggle icon and the hamburger menu entry from the header
- Remove the Header.js 'doctor' dropdown action forwarding to the button
- Drop the header-scoped doctor-toggle styles
- Restore the .doctor-trigger styles (desktop and mobile) in doctor-modal.css

static/js/components/Header.js

@@ -308,13 +308,6 @@ export class HeaderManager {
         case 'notifications':
           updateService.toggleUpdateModal();
           break;
-        case 'doctor': {
-          const doctorToggle = document.getElementById('doctorTriggerBtn');
-          if (doctorToggle) {
-            doctorToggle.click();
-          }
-          break;
-        }
         case 'support':
           if (window.modalManager) {
             window.modalManager.toggleModal('supportModal');