feat(run): tool-aware model picker and run panel labels for codex lanes

Model dropdown now shows curated Claude vs Codex models per lane's tool,
and the run panel title/subtitle/binary-missing text switch between
"Chạy Claude"/"Chạy Codex" accordingly.

client/src/components/run/RunSetup.tsx

@@ -42,7 +42,7 @@ import {
   RotateCcw,
   Lock,
 } from "lucide-react";
-import { api, RUN_MODEL_CHOICES, RUN_EFFORT_CHOICES } from "../../lib/api";
+import { api, RUN_MODEL_CHOICES, RUN_MODEL_CHOICES_CODEX, RUN_EFFORT_CHOICES } from "../../lib/api";
 import type {
   CwdSuggestion,
   DashboardRunHistoryItem,
@@ -233,7 +233,7 @@ export function RunSetup(props: RunSetupProps) {
           )}
         </Field>
         <Field label={t("fields.model")}>
-          <ModelPicker value={props.model} onChange={props.onModelChange} />
+          <ModelPicker value={props.model} onChange={props.onModelChange} tool={props.tool} />
         </Field>
         {props.tool === "codex" ? (
           <>
@@ -712,10 +712,19 @@ function SessionPicker({
 // the "inherit from settings" choice, so use a non-empty marker.
 const MODEL_CUSTOM = "__custom__";
 
-function ModelPicker({ value, onChange }: { value: string; onChange: (s: string) => void }) {
+function ModelPicker({
+  value,
+  onChange,
+  tool,
+}: {
+  value: string;
+  onChange: (s: string) => void;
+  tool: LaneTool;
+}) {
   const { t } = useTranslation("run");
+  const choices = tool === "codex" ? RUN_MODEL_CHOICES_CODEX : RUN_MODEL_CHOICES;
   // "Custom" is selected when the value isn't one of our curated IDs.
-  const knownIds = useMemo(() => RUN_MODEL_CHOICES.map((c) => c.id), []);
+  const knownIds = useMemo(() => choices.map((c) => c.id), [choices]);
   const isCustom = value !== "" && !knownIds.includes(value);
   const [showCustom, setShowCustom] = useState(isCustom);
 
@@ -724,14 +733,14 @@ function ModelPicker({ value, onChange }: { value: string; onChange: (s: string)
   // a browser-native <select>.
   const options = useMemo(
     () => [
-      ...RUN_MODEL_CHOICES.map((c) => ({
+      ...choices.map((c) => ({
         value: c.id === "" ? "" : c.id,
         label: c.id === "" ? t("fields.modelInheritLabel") : c.label,
         hint: c.hint,
       })),
       { value: MODEL_CUSTOM, label: t("fields.modelCustom") },
     ],
-    [t]
+    [t, choices]
   );
 
   const onSelect = (v: string) => {