It works!

{
  "accept": "*/*",
  "content-length": "0",
  "host": "a.cyclic.app",
  "user-agent": "claudebot",
  "x-amzn-trace-id": "Root=1-6605eb28-670dc4cd796d9eed56fd4fc2;Parent=76c16b6fe9ab2573;Sampled=1;Lineage=b1625b33:0",
  "x-forwarded-for": "3.237.178.126",
  "x-forwarded-port": "443",
  "x-forwarded-proto": "https",
  "connection": "close"
}