AI test: codex Responses API branch

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01QKxGW1raAWaqeU8WdHsMsp

bin/omarchy-cn-ai-test

@@ -53,6 +53,12 @@ openai)
     -H "Authorization: Bearer $key" -H "content-type: application/json" \
     -d "{\"model\":\"$model\",\"max_tokens\":8,\"messages\":[{\"role\":\"user\",\"content\":\"ping\"}]}" || true)
   ;;
+openai-responses)
+  code=$(curl -sS -o "$body" -w '%{http_code}' -m 30 --connect-timeout 8 \
+    -X POST "${base%/}/responses" \
+    -H "Authorization: Bearer $key" -H "content-type: application/json" \
+    -d "{\"model\":\"$model\",\"input\":\"ping\",\"max_output_tokens\":16}" || true)
+  ;;
 *)
   echo "FAIL ai-test: unknown protocol $proto"
   exit 1