mtg types of cards Anatomy a Magic Card Mtg Card Type Labels |

What makes Eminence and all of these cards so broken is that there's quite literally no way to interact with the Eminence ability since there's no way to interact with cards in the command zone, which means the Eminence decks have a massive advantage from the very first turn of the game

And the door also acts as command zone

Similarly, phasing in won't cause any "enters" abilities to trigger

Whenever another creature you control with flying enters, Momo gets +1/+1 until end of turn

According to official rulings, this is a perfectly legal way to resolve the card effect

Many of these dice-rolling cards are creatures that make you roll a die when they enter, when they attack, or when they deal combat damage