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/css/components/header.css

@@ -349,27 +349,6 @@
   transform: translateY(-2px);
 }
 
-/* Doctor trigger in the header: accent-tinted icon with the status badge
-   pinned to the corner like the other header badges. */
-.header-controls .doctor-toggle i {
-  color: var(--lora-accent);
-}
-
-.header-controls .doctor-toggle:hover i {
-  color: inherit;
-}
-
-.header-controls .doctor-status-badge {
-  position: absolute;
-  top: -6px;
-  right: -6px;
-  min-width: 16px;
-  height: 16px;
-  padding: 0 4px;
-  font-size: 10px;
-  border: 2px solid var(--card-bg);
-}
-
 .theme-toggle {
   position: relative;
 }

static/css/components/modal/doctor-modal.css

@@ -1,3 +1,13 @@
+.doctor-trigger {
+    min-width: 120px;
+    position: relative;
+    border-color: color-mix(in srgb, var(--lora-accent) 24%, var(--border-color));
+}
+
+.doctor-trigger i {
+    color: var(--lora-accent);
+}
+
 .doctor-status-badge {
     display: inline-flex;
     align-items: center;
@@ -237,6 +247,15 @@
 }
 
 @media (max-width: 760px) {
+    .doctor-trigger {
+        min-width: auto;
+        padding-inline: 10px;
+    }
+
+    .doctor-trigger span:not(.doctor-status-badge) {
+        display: none;
+    }
+
     .doctor-hero,
     .doctor-footer {
         flex-direction: column;