swarm ui: the delete confirmation says the agent keeps its session

The dialog only said the agent has to log in again, which reads as a logout.
It now says the agent is not logged out and keeps its current session, and a
delete that succeeded shows the empty row at once instead of waiting on the
re-read.

frontend/packages/swarm-ui/src/agent/claude-login/StoredLogin.ts

@@ -25,7 +25,7 @@ export function storedAtMs(login: StoredLogin): number | null {
 }
 
 // What the delete's confirmation says: it removes the swarm's copy, and an
-// agent that already holds a session keeps it.
+// agent that already holds a session keeps it. The agent is not logged out.
 export function deleteMessage(agent: string): string {
-  return `Delete the stored claude login for ${agent}? ${agent} has to be logged in again to get a new one.`;
+  return `Delete the stored claude login for ${agent}? ${agent} is not logged out: it keeps its current session. A new login has to be made to get another stored copy.`;
 }

frontend/packages/swarm-ui/src/agent/detail/AgentClaudeLogin.tsx

@@ -55,6 +55,8 @@ export function AgentClaudeLogin({ agent }: { agent: string }) {
         return;
       }
       setConfirming(false);
+      // Nothing is stored now, whatever the re-read says.
+      setLogin({ stored_at: null });
       showToast(`Stored login for ${agent} deleted.`, "ok");
       await load();
     } catch (err) {
@@ -81,7 +83,8 @@ export function AgentClaudeLogin({ agent }: { agent: string }) {
       ) : (
         <>
           <span title={login.stored_at}>
-            stored {at === null ? login.stored_at : <RelativeTime epochMs={at} />}
+            stored{" "}
+            {at === null ? login.stored_at : <RelativeTime epochMs={at} />}
           </span>{" "}
           <Badge
             variant="quiet"

frontend/packages/swarm-ui/test/stored-login.test.mjs

@@ -30,4 +30,5 @@ test("the time the store gives is read as an instant, or as nothing", () => {
 
 test("the delete's confirmation names the agent", () => {
   assert.match(deleteMessage("atlas"), /stored claude login for atlas/);
+  assert.match(deleteMessage("atlas"), /not logged out/);
 });