fix(proxy): retain explicit profile names in status

src/proxy/proxy-daemon.ts

@@ -199,7 +199,7 @@ async function getOpenAICompatProxyStatusForProfile(
   const state = getOpenAICompatProxyStateForProfile(profileName);
   const session = state.session;
   if (!session) {
-    return { running: false };
+    return { running: false, profileName };
   }
 
   const port = session.port;

tests/integration/proxy/daemon-lifecycle.test.ts

@@ -464,4 +464,10 @@ describe('openai proxy daemon lifecycle', () => {
     expect(fs.existsSync(getLegacyOpenAICompatProxyPidPath())).toBe(false);
     expect(fs.existsSync(getLegacyOpenAICompatProxySessionPath())).toBe(false);
   }, 35000);
+
+  it('keeps the requested profile name in stopped status results', async () => {
+    const status = await getOpenAICompatProxyStatus('never-started');
+    expect(status.running).toBe(false);
+    expect(status.profileName).toBe('never-started');
+  });
 });