fix(coach): show the operator's central Codex when it answers

The operator's shared Codex is appended to the resolved chain but is never
a chain entry, so the Coach's provider select had no option for it and
showed its first option as the one answering. The answering provider now
appears as a disabled option, with a note that the operator manages the
connection.

messages/de.json

@@ -3138,7 +3138,9 @@
         "saving": "Wird gespeichert…",
         "saveFailed": "Die Änderung ließ sich nicht speichern.",
         "allSettings": "Alle KI-Einstellungen",
-        "providerNotActive": "{provider} konnte nicht übernehmen: Es fehlt eine funktionierende Anmeldung oder ein Schlüssel. Richte das in den KI-Einstellungen ein."
+        "providerNotActive": "{provider} konnte nicht übernehmen: Es fehlt eine funktionierende Anmeldung oder ein Schlüssel. Richte das in den KI-Einstellungen ein.",
+        "operatorCodex": "ChatGPT (vom Betreiber bereitgestellt)",
+        "operatorManaged": "Diese Verbindung verwaltet der Betreiber deines Servers. Sobald einer deiner eigenen Anbieter eingerichtet ist, antwortet er zuerst."
       },
       "answer": {
         "scrollToBottom": "Zur neuesten Nachricht",

messages/en.json

@@ -3138,7 +3138,9 @@
         "saving": "Saving…",
         "saveFailed": "That change could not be saved.",
         "allSettings": "All AI settings",
-        "providerNotActive": "{provider} could not take over: it has no working sign-in or key. Set it up in AI settings."
+        "providerNotActive": "{provider} could not take over: it has no working sign-in or key. Set it up in AI settings.",
+        "operatorCodex": "ChatGPT (shared by the operator)",
+        "operatorManaged": "Your server's operator manages this connection. Once one of your own providers is set up, it answers first."
       },
       "answer": {
         "scrollToBottom": "Jump to the latest message",

messages/es.json

@@ -3138,7 +3138,9 @@
         "saving": "Guardando…",
         "saveFailed": "No se pudo guardar el cambio.",
         "allSettings": "Todos los ajustes de IA",
-        "providerNotActive": "{provider} no pudo encargarse: no tiene un inicio de sesión ni una clave que funcionen. Configúralo en los ajustes de IA."
+        "providerNotActive": "{provider} no pudo encargarse: no tiene un inicio de sesión ni una clave que funcionen. Configúralo en los ajustes de IA.",
+        "operatorCodex": "ChatGPT (compartido por el operador)",
+        "operatorManaged": "El operador de tu servidor gestiona esta conexión. Cuando configures uno de tus propios proveedores, responderá primero."
       },
       "answer": {
         "scrollToBottom": "Ir al último mensaje",

messages/fr.json

@@ -3138,7 +3138,9 @@
         "saving": "Enregistrement…",
         "saveFailed": "Impossible d’enregistrer cette modification.",
         "allSettings": "Tous les paramètres IA",
-        "providerNotActive": "{provider} n'a pas pu prendre le relais : aucune connexion ni clé valide. Configurez-le dans les réglages IA."
+        "providerNotActive": "{provider} n'a pas pu prendre le relais : aucune connexion ni clé valide. Configurez-le dans les réglages IA.",
+        "operatorCodex": "ChatGPT (partagé par l'opérateur)",
+        "operatorManaged": "L'opérateur de votre serveur gère cette connexion. Dès qu'un de vos propres fournisseurs est configuré, c'est lui qui répond en premier."
       },
       "answer": {
         "scrollToBottom": "Aller au dernier message",

messages/it.json

@@ -3138,7 +3138,9 @@
         "saving": "Salvataggio…",
         "saveFailed": "Impossibile salvare la modifica.",
         "allSettings": "Tutte le impostazioni IA",
-        "providerNotActive": "{provider} non è subentrato: manca un accesso o una chiave funzionante. Configuralo nelle impostazioni IA."
+        "providerNotActive": "{provider} non è subentrato: manca un accesso o una chiave funzionante. Configuralo nelle impostazioni IA.",
+        "operatorCodex": "ChatGPT (condiviso dall'operatore)",
+        "operatorManaged": "Questa connessione è gestita dall'operatore del tuo server. Quando configuri uno dei tuoi fornitori, risponde per primo."
       },
       "answer": {
         "scrollToBottom": "Vai all'ultimo messaggio",

messages/ko.json

@@ -3138,7 +3138,9 @@
         "saving": "저장 중…",
         "saveFailed": "변경 사항을 저장하지 못했어요.",
         "allSettings": "모든 AI 설정",
-        "providerNotActive": "{provider}(으)로 전환하지 못했습니다. 작동하는 로그인이나 키가 없습니다. AI 설정에서 설정하세요."
+        "providerNotActive": "{provider}(으)로 전환하지 못했습니다. 작동하는 로그인이나 키가 없습니다. AI 설정에서 설정하세요.",
+        "operatorCodex": "ChatGPT (운영자 공유)",
+        "operatorManaged": "이 연결은 서버 운영자가 관리합니다. 내 공급자를 하나라도 설정하면 그 공급자가 먼저 답합니다."
       },
       "answer": {
         "scrollToBottom": "최신 메시지로 이동",

messages/pl.json

@@ -3138,7 +3138,9 @@
         "saving": "Zapisywanie…",
         "saveFailed": "Nie udało się zapisać zmiany.",
         "allSettings": "Wszystkie ustawienia AI",
-        "providerNotActive": "{provider} nie mógł przejąć odpowiedzi: brak działającego logowania lub klucza. Skonfiguruj go w ustawieniach AI."
+        "providerNotActive": "{provider} nie mógł przejąć odpowiedzi: brak działającego logowania lub klucza. Skonfiguruj go w ustawieniach AI.",
+        "operatorCodex": "ChatGPT (udostępniony przez operatora)",
+        "operatorManaged": "Tym połączeniem zarządza operator Twojego serwera. Gdy skonfigurujesz własnego dostawcę, to on odpowie jako pierwszy."
       },
       "answer": {
         "scrollToBottom": "Przejdź do najnowszej wiadomości",

src/components/insights/coach-panel/__tests__/coach-settings-overlay.test.tsx

@@ -43,11 +43,11 @@ const PROVIDER: UserAIProvider = {
   compatReasoningEffort: null,
 };
 
-function render(node: React.ReactNode) {
+function render(node: React.ReactNode, chain: ProviderChainData = CHAIN) {
   const client = new QueryClient({
     defaultOptions: { queries: { retry: false } },
   });
-  client.setQueryData(queryKeys.insightsProviderChain(), CHAIN);
+  client.setQueryData(queryKeys.insightsProviderChain(), chain);
   client.setQueryData(queryKeys.userAiProvider(), PROVIDER);
   client.setQueryData(queryKeys.coachPrefs(), DEFAULT_COACH_PREFS);
   return renderToStaticMarkup(
@@ -81,6 +81,23 @@ describe("<CoachSettingsBody>", () => {
     expect(select).not.toContain('value="codex"');
   });
 
+  it("shows the operator's central Codex as the active provider when it answers", () => {
+    // `admin-codex` is never a chain entry, so no option matched it and the
+    // select showed its first option as the one answering.
+    const html = render(<CoachSettingsBody />, {
+      ...CHAIN,
+      activeProvider: "admin-codex" as ProviderChainData["activeProvider"],
+    });
+    const select = html.match(
+      /<select[^>]*data-slot="coach-quick-provider"[\s\S]*?<\/select>/,
+    )?.[0];
+    expect(select).toMatch(
+      /<option value="admin-codex" disabled="" selected="">ChatGPT \(shared by the operator\)<\/option>/,
+    );
+    expect(select).not.toMatch(/value="local"[^>]*selected/);
+    expect(html).toContain('data-slot="coach-quick-provider-operator"');
+  });
+
   it("shows the model and reasoning controls the active provider owns", () => {
     const html = render(<CoachSettingsBody />);
     expect(html).toContain('data-slot="coach-quick-model"');

src/components/insights/coach-panel/coach-model-picker.tsx

@@ -82,6 +82,19 @@ export function switchDidNotTake(
   return fresh.activeProvider !== chosen;
 }
 
+/**
+ * The provider the server answers with when the select has no option for it:
+ * the operator's central Codex (never a chain entry), or an entry that answers
+ * without being offered. Shown as a disabled option so the select tells the
+ * truth instead of showing its first option as active.
+ */
+export function activeOutsideOptions(
+  active: string | null,
+  options: readonly string[],
+): string | null {
+  return active !== null && !options.includes(active) ? active : null;
+}
+
 export type ModelControl =
   | { kind: "preset"; presets: readonly string[]; value: string | null }
   | { kind: "gateway"; value: string | null }
@@ -201,6 +214,8 @@ export function CoachModelPicker() {
   const model = modelControlFor(active, userProvider);
   const reasoning = reasoningFieldFor(active, userProvider);
   const busy = switchProvider.isPending || patchProvider.isPending;
+  // The server may answer with `admin-codex`, which the UI's type omits.
+  const unlisted = activeOutsideOptions(active as string | null, options);
 
   if (chainQuery.isError || providerQuery.isError) {
     return (
@@ -259,12 +274,27 @@ export function CoachModelPicker() {
               {t("insights.coach.frame.noProvider")}
             </option>
           ) : null}
+          {unlisted ? (
+            <option value={unlisted} disabled>
+              {unlisted === "admin-codex"
+                ? t("insights.coach.frame.operatorCodex")
+                : t(`settings.ai.providerChain.types.${unlisted}`)}
+            </option>
+          ) : null}
           {options.map((p) => (
             <option key={p} value={p}>
               {t(`settings.ai.providerChain.types.${p}`)}
             </option>
           ))}
         </NativeSelect>
+        {unlisted === "admin-codex" ? (
+          <p
+            data-slot="coach-quick-provider-operator"
+            className="text-muted-foreground mt-1 text-xs"
+          >
+            {t("insights.coach.frame.operatorManaged")}
+          </p>
+        ) : null}
       </div>
 
       {model.kind === "preset" ? (