I watched how it works, but it seems the rotation is just an animation and a fake. There are two requests: /flip and /info. When you click mouse button, the /flip request is GET immediately and it returns a result of 1(eagle) or 0. After that the coin animation begins with requests to /info which always returns the same response for no clear reason. After several /info requests the coin eventually stops without receiving any new results.
$ curl https://quantum.orgsoft.org/info
{"status":"ok","message":"Connected to IBM Eagle r3 (127 qubits)","display_name":"Eagle r3 (127 qubits)","alias":"ibm_kyiv","version":"1.20.22","num_qubits":127,"processor":"Eagle r3","url":"https://quantum.ibm.com/services/resources?system=ibm_kyiv"}
$ curl https://quantum.orgsoft.org/flip
1