There is no riddle.
The stopping of that cycle happens by stopping “avijja paccaya (abhi)sankhara.”
– Avijja is removed via comprehending Four Noble Truths/Paticca Samuppaada/Tilakkhana.
– Of course, one has to be mindful at all times (Anapana/Satipatthana), too: “Indriyabhāvanā Sutta (MN 152)“