diff --git a/packages/webui/src/public/shell.css b/packages/webui/src/public/shell.css
index fac063015..bca4f7427 100644
--- a/packages/webui/src/public/shell.css
+++ b/packages/webui/src/public/shell.css
@@ -741,7 +741,7 @@ html[data-organizations] .ws-drawer-f{display:grid;grid-template-columns:96px mi
 html[data-organizations] .ws-drawer-f dt{color:var(--muted);font-weight:600}
 html[data-organizations] .ws-drawer-f dd{margin:0;color:var(--strong);overflow-wrap:anywhere;min-width:0}
 html[data-organizations] .ws-drawer-f code,html[data-organizations] .ws-drawer .mono{font:12px var(--mono)}
-html[data-organizations] .ws-drawer-sec{display:grid;gap:6px}
+html[data-organizations] .ws-drawer-sec{display:grid;gap:6px;margin:0}
 html[data-organizations] .ws-drawer-sec h3{margin:0;font:700 11px/1.3 var(--font);letter-spacing:.06em;text-transform:uppercase;color:var(--muted)}
 html[data-organizations] .ws-drawer-list{list-style:none;margin:0;padding:0;display:grid;gap:4px;font-size:13px}
 html[data-organizations] .ws-drawer-list li{border:1px solid var(--line);border-radius:6px;padding:6px 9px;background:var(--canvas);overflow-wrap:anywhere}
@@ -753,6 +753,9 @@ html[data-organizations] .ws-drawer-confirm{display:flex;flex-wrap:wrap;gap:8px;
 html[data-organizations] .ws-drawer .ws-btn.danger{color:var(--danger)}
 html[data-organizations] .ws-drawer-status{margin:0;flex-basis:100%;font-size:13px;color:var(--strong)}
 html[data-organizations] .ws-drawer-status:empty{display:none}
+html[data-organizations] .ws-drawer-acts .note{flex-basis:100%}
+/* Wide screens: the page keeps clear of the drawer, so nothing sits under it. */
+@media (min-width:1200px){html[data-organizations] body:has(.ws-drawer) .content{padding-right:calc(420px + 22px)}}
 @media (max-width:700px){
   html[data-organizations] .ws-drawer{top:0;left:0;right:0;width:auto;border-left:0;box-shadow:none}
 }
diff --git a/packages/webui/src/public/workspace.js b/packages/webui/src/public/workspace.js
index 5d655fa02..5c208847b 100644
--- a/packages/webui/src/public/workspace.js
+++ b/packages/webui/src/public/workspace.js
@@ -1173,6 +1173,10 @@
     if (chat && thread?.thread) acts.push(`<a class="ws-btn" href="${esc(`#/assistant?add=${enc(`${org}:${thread.thread}`)}`)}" data-drawer-message data-focus-key="drawer-message">Message<span class="ws-sr"> ${esc(a.name)}</span></a>`);
     else if (chat && a.level === 'org' && window.MosaicAgents?.isThread?.(def)) acts.push(`<a class="ws-btn" href="#/assistant" data-drawer-message data-focus-key="drawer-message">Message<span class="ws-sr"> ${esc(a.name)}</span></a> <span class="note">Start one from New thread in ${esc(orgName)}.</span>`);
     if (change && a.level === 'org' && !a.keep && running(item) > 0) acts.push(stopActions(pick, a, orgName));
+    // Why Stop is not offered, in words, where this Console could otherwise change the organization's agents.
+    else if (change) acts.push(`<p class="note" data-drawer-nostop>${a.level !== 'org' ? 'A copy is not stopped from here.'
+      : a.keep ? `${esc(a.name)} is one of ${esc(orgName)}’s protected agents, so it is not stopped from here.`
+      : 'It is not running, so there is nothing to stop.'}</p>`);
     const st = stopState?.id === id ? stopState : null;
     const actions = chat || change
       ? `<div class="ws-drawer-acts" data-drawer-actions>${acts.join(' ')}<p class="ws-drawer-status" id="ws-drawer-status" role="status" data-drawer-status>${esc(st?.text || '')}</p></div>`
diff --git a/packages/webui/tests/agent-drawer-browser.test.mjs b/packages/webui/tests/agent-drawer-browser.test.mjs
index b90eaddc4..4cff4dcf8 100644
--- a/packages/webui/tests/agent-drawer-browser.test.mjs
+++ b/packages/webui/tests/agent-drawer-browser.test.mjs
@@ -140,7 +140,9 @@ test('a row on #/agents opens the drawer: a region with a heading, the page stay
   // At the right of the page.
   const box = await b.evaluate(`(() => { const r = document.querySelector('${d}').getBoundingClientRect(); return [Math.round(r.left), Math.round(r.right), innerWidth]; })()`);
   assert.ok(box[0] > box[2] / 2, `drawer left edge ${box[0]} should be in the right half of ${box[2]}`);
-  assert.ok(box[1] >= box[2] - 20, `drawer right edge ${box[1]} should reach the right of ${box[2]}`);
+  assert.ok(box[1] >= box[2] - 20, `drawer right edge ${box[1]} should reach the right of ${box[2]}`);  // At 1440 wide nothing on the page sits under it: the agents table ends left of the drawer.
+  const table = await b.evaluate(`Math.round(document.querySelector('[data-ws-agent-list]').getBoundingClientRect().right)`);
+  assert.ok(table <= box[0], `the agents table right edge ${table} should be left of the drawer at ${box[0]}`);
 });
 
 test('the drawer shows each field from its read: name, organization, role and source, state, model, project, task, open tasks and decisions', async t => {
@@ -297,6 +299,8 @@ test('Message opens the agent\'s thread in an Assistant pane; Stop asks first an
   await b.evaluate('location.hash = "#/agents?agent=acme%3Achief"');
   await wait(open('acme:chief'));
   assert.equal(await has('[data-ws-drawer="acme:chief"] [data-drawer-stop]'), false);
+  // Where Stop is not offered, the drawer says why beside the actions.
+  assert.match(await text('[data-ws-drawer="acme:chief"] [data-drawer-actions] [data-drawer-nostop]'), /^chief is one of Acme Studio’s protected agents, so it is not stopped from here\.$/);
 });
 
 test('no action is shown where the Console cannot write for the agent\'s organization', async t => {