Wombats can be bred by mating a male and a female wombat. Breeding is immediate, but after breeding, wombats have a cooldown before they can breed again. The cooldown period expands after each successful breeding. Also, breeding requires a certain amount of $WOMBAT to be burned depending on the rank of the wombat.
Wombats are NFTs on the WAX or Polygon blockchain. WAX-based Wombats can only be used in WAX-based dungeons, and breeding will - at least initially - be limited to single chains.