diff --git a/components/app/bops-app.tsx b/components/app/bops-app.tsx
index e99b90bc..786089d1 100644
--- a/components/app/bops-app.tsx
+++ b/components/app/bops-app.tsx
@@ -2176,7 +2176,7 @@ export function Settings({
   else if (pane === "bots")
     body = (
       <>
-        <PaneHead title="Bots" sub={`${wsName}'s bots. Each has a settings page of its own.`} />
+        <PaneHead title="Bots" sub={shared ? `${wsName}'s bots. Only the owner changes their settings.` : `${wsName}'s bots. Each has a settings page of its own.`} />
         <WorkspaceBots state={state} onOpenBot={shared ? undefined : onOpenBot} />
       </>
     );
diff --git a/components/app/computer.tsx b/components/app/computer.tsx
index 981309c5..1b18cfb4 100644
--- a/components/app/computer.tsx
+++ b/components/app/computer.tsx
@@ -1219,12 +1219,12 @@ function NoComputer({ state, bot: b, host }: { state: AppState; bot: Bot; /** Th
       </div>
     );
   // A workspace shared with the user: the computer (or the Mac) is the owner's, with nothing here to set up or watch.
+  // A plain line saying where its work shows, not an empty card the size of a screen.
   if (readOnly(state))
     return (
-      <div className="flex aspect-[16/10] w-full flex-col items-center justify-center gap-3 rounded-[20px] px-8 text-center" style={{ backgroundImage: botWash(b) }}>
-        <Mascot botId={b.id} color={b.color} size={44} />
-        <span className="max-w-[300px] text-[14px] leading-5">{`${b.name} works on ${b.runsOn === "mac" ? yourMac(state) : "the owner's computer"}.`}</span>
-      </div>
+      <p className="px-1 py-2 text-[14px] leading-5 text-[#6B6B6B]">
+        {`${b.name} works on ${b.runsOn === "mac" ? yourMac(state) : "the owner's computer"}. Its screens show only in the owner's Bops; its work shows in the chat.`}
+      </p>
     );
   return (
     <div className="flex aspect-[16/10] w-full flex-col items-center justify-center gap-3 rounded-[20px] px-8 text-center" style={{ backgroundImage: botWash(b) }}>
diff --git a/components/app/panel-tabs.tsx b/components/app/panel-tabs.tsx
index ff99e303..17c48ac8 100644
--- a/components/app/panel-tabs.tsx
+++ b/components/app/panel-tabs.tsx
@@ -198,7 +198,12 @@ function Tab({ state, tab: t, on, closable, onPick, onClose }: { state: AppState
   const host = b ? computerOf(state, b) : undefined;
   const label =
     t.kind === "computer"
-      ? host && host.id !== b?.id
+      ? // A shared workspace's computers are its owner's, whichever bot's name the owner's Bops gives them.
+        state.shared
+        ? b?.runsOn === "mac"
+          ? "Owner's Mac"
+          : "Owner's computer"
+        : host && host.id !== b?.id
         ? `${host.name}'s computer`
         : `${b?.name ?? "Bot"}'s computer`
       : t.kind === "bot"
diff --git a/scripts/test-shared.mjs b/scripts/test-shared.mjs
index f008c88e..310e2655 100644
--- a/scripts/test-shared.mjs
+++ b/scripts/test-shared.mjs
@@ -1342,6 +1342,7 @@ await check("the viewer's own Mac is never a shared workspace's: no Your Mac tab
   // The tab, were it shown: no Working dot for the owner's work.
   const bar = renderToStaticMarkup(h(TabBar, { state: st, tabs: [mac], active: "chat", chatBotId: "boppy", onPick: noop, onClose: noop, onNew: noop }));
   assert.ok(!/title="Working"/.test(bar), bar);
+  assert.match(bar, />Owner&#x27;s computer</, "the chat's computer tab is the owner's, not named for another bot");
   // The user's own: as always.
   const mine = { ...own(), host: "mac", sessions: [{ ...c.state.sessions[0], botId: "boppy" }] };
   assert.equal(tabsShown([mac], mine, opts(mine)).length, 1);