Q1: What does "while you have (the specified card) on the field" mean, exactly?
It refers to when you have the specified card in the battle area or breeding area.
Believe in Our Friendship ST21-14 C ADVENTURE While you have a Digimon or Tamer with the [ADVENTURE] trait on the field, you can ignore this card's color requirements. [Main] Reveal the top 3 cards of your deck. Add 1 card with the [ADVENTURE] trait among them to the hand. Return the rest to the bottom of the deck. Then, place this card in the battle area. [Main] <Delay> (By trashing this card after the placing turn, activate the effect.) • Gain 2 memory. --- [Security] Place this card in the battle area.
Believe in Our Friendship ST21-14 C ADVENTURE While you have a Digimon or Tamer with the [ADVENTURE] trait on the field, you can ignore this card's color requirements. [Main] Reveal the top 3 cards of your deck. Add 1 card with the [ADVENTURE] trait among them to the hand. Return the rest to the bottom of the deck. Then, place this card in the battle area. [Main] <Delay> (By trashing this card after the placing turn, activate the effect.) • Gain 2 memory. --- [Security] Place this card in the battle area.
Believe in Our Friendship ST21-14 C ADVENTURE While you have a Digimon or Tamer with the [ADVENTURE] trait on the field, you can ignore this card's color requirements. [Main] Reveal the top 3 cards of your deck. Add 1 card with the [ADVENTURE] trait among them to the hand. Return the rest to the bottom of the deck. Then, place this card in the battle area. [Main] <Delay> • Gain 2 memory. ---