diff --git a/internal/server/web/static/ai.js b/internal/server/web/static/ai.js
index aa0760d..64c4873 100644
--- a/internal/server/web/static/ai.js
+++ b/internal/server/web/static/ai.js
@@ -43,6 +43,7 @@
   const phone = () => matchMedia('(max-width: 640px)').matches;
   const isOpen = () => box.classList.contains('on');
   function show() {
+    placeBox();
     box.classList.add('on');
     if (phone() && !(history.state && history.state.aiChat)) history.pushState({aiChat: 1}, '', location.href);
     where();
@@ -57,7 +58,73 @@
   function setOn(on) { fab.hidden = !on; if (!on) hide(); }
   fetch('/api/panel/ai', {cache: 'no-store', credentials: 'same-origin'}).then(r => r.json()).then(d => setOn(!!d.on)).catch(() => {});
   document.addEventListener('lpra:ai', ev => setOn(ev.detail));
-  fab.onclick = () => (isOpen() ? hide() : show());
+  fab.onclick = () => { if (moved) { moved = false; return; } isOpen() ? hide() : show(); };
+
+  // ---------- on a computer: the ball and the chat move ----------
+  // The ball goes where it is dragged and stays there (kept in this
+  // browser, as distances from the right and bottom edges); the chat opens
+  // beside it, toward the room, and moves by its title.
+  const desk = !matchMedia('(pointer: coarse)').matches;
+  let moved = false;
+  const clamp = (v, lo, hi) => Math.max(lo, Math.min(hi, v));
+  function placeFab(right, bottom) {
+    right = clamp(right, 8, innerWidth - fab.offsetWidth - 8);
+    bottom = clamp(bottom, 8, innerHeight - fab.offsetHeight - 8);
+    fab.style.right = right + 'px'; fab.style.bottom = bottom + 'px';
+    return {right, bottom};
+  }
+  function placeBox() {
+    if (!desk || phone()) { box.style.left = box.style.top = box.style.right = box.style.bottom = ''; return; }
+    const f = fab.getBoundingClientRect(), w = box.offsetWidth, h = box.offsetHeight, gap = 12;
+    const toLeft = f.left + f.width / 2 > innerWidth / 2, up = f.top + f.height / 2 > innerHeight / 2;
+    let x = toLeft ? f.right - w : f.left;
+    let y = up ? f.top - gap - h : f.bottom + gap;
+    // No room above or below: beside the ball.
+    if (y < 8 || y + h > innerHeight - 8) { y = clamp(f.top + f.height - h, 8, innerHeight - h - 8); x = toLeft ? f.left - gap - w : f.right + gap; }
+    box.style.right = box.style.bottom = 'auto';
+    box.style.left = clamp(x, 8, innerWidth - w - 8) + 'px';
+    box.style.top = clamp(y, 8, innerHeight - h - 8) + 'px';
+    box.style.transformOrigin = (up ? 'bottom ' : 'top ') + (toLeft ? 'right' : 'left');
+  }
+  if (desk) {
+    try { const p = JSON.parse(localStorage.getItem('lpra.ai.pos') || 'null'); if (p) requestAnimationFrame(() => placeFab(p.right, p.bottom)); } catch (e) { /* default */ }
+    const drag = (el, ev, onMove, onEnd) => {
+      if (ev.button !== 0) return;
+      const x0 = ev.clientX, y0 = ev.clientY;
+      let on = false;
+      const mv = e => {
+        if (!on && Math.hypot(e.clientX - x0, e.clientY - y0) < 5) return;
+        on = true;
+        onMove(e.clientX - x0, e.clientY - y0);
+      };
+      const up = () => {
+        removeEventListener('pointermove', mv); removeEventListener('pointerup', up);
+        document.body.classList.remove('ai-dragging');
+        if (on) onEnd();
+      };
+      addEventListener('pointermove', mv); addEventListener('pointerup', up);
+      document.body.classList.add('ai-dragging');
+    };
+    fab.addEventListener('pointerdown', ev => {
+      const r0 = innerWidth - fab.getBoundingClientRect().right, b0 = innerHeight - fab.getBoundingClientRect().bottom;
+      let pos = {right: r0, bottom: b0};
+      drag(fab, ev, (dx, dy) => { moved = true; pos = placeFab(r0 - dx, b0 - dy); if (isOpen()) placeBox(); }, () => {
+        try { localStorage.setItem('lpra.ai.pos', JSON.stringify(pos)); } catch (e) { /* not kept */ }
+      });
+    });
+    q('.ai-head').addEventListener('pointerdown', ev => {
+      if (ev.target.closest('button')) return;
+      const r = box.getBoundingClientRect();
+      drag(box, ev, (dx, dy) => {
+        box.style.left = clamp(r.left + dx, 8, innerWidth - r.width - 8) + 'px';
+        box.style.top = clamp(r.top + dy, 8, innerHeight - r.height - 8) + 'px';
+      }, () => {});
+    });
+    addEventListener('resize', () => {
+      try { const p = JSON.parse(localStorage.getItem('lpra.ai.pos') || 'null'); if (p) placeFab(p.right, p.bottom); } catch (e) { /* default */ }
+      if (isOpen()) placeBox();
+    });
+  }
   q('.ai-close').onclick = hide;
   q('.ai-clear').onclick = () => {
     if (ac) ac.abort();
diff --git a/internal/server/web/static/app.css b/internal/server/web/static/app.css
index 516dad4..97c8b5a 100644
--- a/internal/server/web/static/app.css
+++ b/internal/server/web/static/app.css
@@ -820,11 +820,11 @@ dialog.machinedlg { max-width:1000px; width:94vw; max-height:90vh; padding:0; ov
 .ai-form label { display:grid; gap:4px; font-size:13px; color:var(--muted); }
 
 /* The assistant: a round button, and the chat over the page's corner. */
-.ai-fab { position:fixed; right:18px; bottom:18px; z-index:40; width:52px; height:52px; padding:0; border-radius:50%;
+.ai-fab { position:fixed; right:28px; bottom:28px; z-index:40; width:52px; height:52px; padding:0; border-radius:50%;
           display:inline-flex; align-items:center; justify-content:center; box-shadow:0 8px 24px rgba(0,0,0,.45); }
 .ai-fab[hidden] { display:none; }
 body.touch.term-active .ai-fab { bottom:104px; }
-.ai-box { position:fixed; right:18px; bottom:82px; z-index:41; width:360px; max-width:calc(100vw - 24px); height:min(500px, calc(100vh - 120px));
+.ai-box { position:fixed; right:28px; bottom:96px; z-index:41; width:360px; max-width:calc(100vw - 24px); height:min(500px, calc(100vh - 120px));
           display:flex; flex-direction:column; background:var(--panel); border:1px solid var(--border); border-radius:12px;
           box-shadow:0 18px 44px rgba(0,0,0,.55); overflow:hidden; transform-origin:bottom right;
           opacity:0; visibility:hidden; pointer-events:none; transform:translateY(14px) scale(.96);
@@ -876,3 +876,15 @@ dialog.uidlg { max-width:420px; width:92vw; }
 .ai-think { margin:0 0 6px; font-size:12.5px; color:var(--muted); }
 .ai-think summary { cursor:pointer; }
 .ai-think > div { margin-top:4px; padding-left:10px; border-left:2px solid var(--border); max-height:200px; overflow:auto; }
+/* The chat's title moves it on a computer. */
+body:not(.touch) .ai-head { cursor:grab; user-select:none; }
+body.ai-dragging, body.ai-dragging * { cursor:grabbing !important; user-select:none; }
+body:not(.touch) .ai-fab { cursor:grab; touch-action:none; }
+/* Send: the field's height, square. */
+.ai-form-in textarea, .ai-send { box-sizing:border-box; }
+.ai-send { width:40px; height:40px; align-self:flex-end; }
+@media (max-width: 640px) {
+  .ai-fab { width:46px; height:46px; right:22px; bottom:24px; }
+  body.touch.term-active .ai-fab { bottom:110px; }
+  .ai-form-in textarea { font-size:16px; }
+}