

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.
The Sistermon Sisters Training Gym BT23-099 U CS While you have a Digimon with [Huckmon] in its name on the field, you can ignore this card's color requirements. [Main] <Draw 1>. Then, place this card in the battle area. [Your Turn] When any of your Digimon digivolve into a Digimon with [Huckmon] or [Jesmon] in its name, <Delay> • You may play 1 card with [Sistermon] in its name from your hand or trash without paying the cost. --- [Security] You may play 1 card with [Sistermon] in its name from your hand or trash without paying the cost. Then, place this card in the battle area.
The Sistermon Sisters Training Gym BT23-099 U CS While you have a Digimon with [Huckmon] in its name on the field, you can ignore this card's color requirements. [Main] <Draw 1>. Then, place this card in the battle area. [Your Turn] When any of your Digimon digivolve into a Digimon with [Huckmon] or [Jesmon] in its name, <Delay> • You may play 1 card with [Sistermon] in its name from your hand or trash without paying the cost. --- [Security] You may play 1 card with [Sistermon] in its name from your hand or trash without paying the cost. Then, place this card in the battle area.
The Sistermon Sisters Training Gym BT23-099 U CS While you have a Digimon with [Huckmon] in its name the field, you can ignore this card's color requirements. [Main] <Draw 1> Then, place this card in the battle area. [Your Turn] When any of your Digimon digivolve into a Digimon with [Huckmon] or [Jesmon] in its name, <Delay> • You may play 1 card with [Sistermon] in its name from your hand or trash without paying the cost. --- [Security] You may play 1 card with [Sistermon] in its name from your hand or trash without paying the cost. Then, place this card in the battle area.
シスタモン姉妹のトレーニングジム BT23-099 U CS エリアに名称に「ハックモン」を含む自分のデジモンがいる間、このカードは色条件を無視できる。 【メイン】≪1ドロー≫。その後、このカードをバトルエリアに置く。 【自分のターン】自分のデジモンが名称に「ハックモン」/「ジエスモン」を含むデジモンに進化したとき、≪ディレイ≫。 • 自分の手札/トラッシュから、名称に「シスタモン」を含むカード1枚をコストを支払わずに登場できる。 --- 【セキュリティ】自分の手札/トラッシュから、名称に「シスタモン」を含むカード1枚をコストを支払わずに登場できる。その後、このカードをバトルエリアに置く。