feat(models): wire /api/models dynamic discovery to model selector dialog

Fetches live Claude model list from /api/models on mount; falls back to
hardcoded CLAUDE_MODELS.OPTIONS when the endpoint is unavailable.
Closes #1

src/components/chat/view/subcomponents/ProviderSelectionEmptyState.tsx

@@ -11,6 +11,7 @@ import {
   GEMINI_MODELS,
   PROVIDERS,
 } from "../../../../../shared/modelConstants";
+import { authenticatedFetch } from "../../../../utils/api";
 import type { ProjectSession, LLMProvider } from "../../../../types/app";
 import { NextTaskBanner } from "../../../task-master";
 import {
@@ -30,6 +31,8 @@ import {
 const MOD_KEY =
   typeof navigator !== "undefined" && /Mac|iPhone|iPad/.test(navigator.platform) ? "⌘" : "Ctrl";
 
+type ModelOption = { value: string; label: string };
+
 type ProviderSelectionEmptyStateProps = {
   selectedSession: ProjectSession | null;
   currentSessionId: string | null;
@@ -53,22 +56,15 @@ type ProviderSelectionEmptyStateProps = {
 type ProviderGroup = {
   id: LLMProvider;
   name: string;
-  models: { value: string; label: string }[];
+  models: ModelOption[];
 };
 
-const PROVIDER_GROUPS: ProviderGroup[] = PROVIDERS.map((p) => ({
+const STATIC_PROVIDER_GROUPS: ProviderGroup[] = PROVIDERS.map((p) => ({
   id: p.id as LLMProvider,
   name: p.name,
   models: p.models.OPTIONS,
 }));
 
-function getModelConfig(p: LLMProvider) {
-  if (p === "claude") return CLAUDE_MODELS;
-  if (p === "codex") return CODEX_MODELS;
-  if (p === "gemini") return GEMINI_MODELS;
-  return CURSOR_MODELS;
-}
-
 function getCurrentModel(
   p: LLMProvider,
   c: string,
@@ -111,10 +107,36 @@ export default function ProviderSelectionEmptyState({
   const { t } = useTranslation("chat");
   const { isWindowsServer } = useServerPlatform();
   const [dialogOpen, setDialogOpen] = useState(false);
+  const [claudeModelOptions, setClaudeModelOptions] = useState<ModelOption[]>(CLAUDE_MODELS.OPTIONS);
+
+  // Fetch live Claude model list from the server; fall back to static constants on failure.
+  useEffect(() => {
+    authenticatedFetch("/api/models")
+      .then((res) => {
+        if (!res.ok) return;
+        return res.json();
+      })
+      .then((data) => {
+        if (Array.isArray(data?.claude) && data.claude.length > 0) {
+          setClaudeModelOptions(data.claude);
+        }
+      })
+      .catch(() => {
+        // Static fallback already set as initial state.
+      });
+  }, []);
+
+  const providerGroups = useMemo<ProviderGroup[]>(
+    () =>
+      STATIC_PROVIDER_GROUPS.map((g) =>
+        g.id === "claude" ? { ...g, models: claudeModelOptions } : g,
+      ),
+    [claudeModelOptions],
+  );
 
   const visibleProviderGroups = useMemo(
-    () => (isWindowsServer ? PROVIDER_GROUPS.filter((p) => p.id !== "cursor") : PROVIDER_GROUPS),
+    () => (isWindowsServer ? providerGroups.filter((p) => p.id !== "cursor") : providerGroups),
-    [isWindowsServer],
+    [isWindowsServer, providerGroups],
   );
 
   useEffect(() => {
@@ -137,12 +159,16 @@ export default function ProviderSelectionEmptyState({
   );
 
   const currentModelLabel = useMemo(() => {
-    const config = getModelConfig(provider);
+    const options: ModelOption[] =
-    const found = config.OPTIONS.find(
+      provider === "claude"
-      (o: { value: string; label: string }) => o.value === currentModel,
+        ? claudeModelOptions
-    );
+        : provider === "codex"
-    return found?.label || currentModel;
+          ? CODEX_MODELS.OPTIONS
-  }, [provider, currentModel]);
+          : provider === "gemini"
+            ? GEMINI_MODELS.OPTIONS
+            : CURSOR_MODELS.OPTIONS;
+    return options.find((o) => o.value === currentModel)?.label ?? currentModel;
+  }, [provider, currentModel, claudeModelOptions]);
 
   const setModelForProvider = useCallback(
     (providerId: LLMProvider, modelValue: string) => {