Yidaro, Wandering Monster

You don't have to cycle the same physical card four times for Yidaro to get tired of being cycled and stomp onto the battlefield. Any cards named Yidaro, Wandering Monster will count.

You can cycle a card even if it has a triggered ability from cycling that won't have a legal target. This is because the cycling ability and the triggered ability are separate. This also means that if either ability is countered (with Disallow, for example), the other ability will still resolve.

Some cards with cycling have an ability that triggers when you cycle them, and some cards have an ability that triggers whenever you cycle any card. These triggered abilities resolve before you draw from the cycling ability.