Is it legal to write down the cards that get recycled into your deck?

Ruling: Yes, it is legal to write down cards that get recycled into your deck.

Sequence:

• Cards recycled one-by-one do not require shuffling, allowing you to track their exact order
• Cards recycled multiple at once require shuffling and allowing your opponent to cut/shuffle, making tracking less useful
• You must write down information in a timely manner without slowing down the game

Nuances:

• You cannot take excessive time (e.g., 3 minutes) writing down every card revealed by effects like Aurora
• It's recommended to write down only important cards and perhaps the count of cards flipped rather than everything
• Aurora counts as recycling multiple cards at once, so it triggers the shuffle requirement