Rulings
Q1: What do you mean by "cards with text?"
It refers to cards with the specified word or icon included in "name, trait, effect, inherited effect, <Overflow X>, jogress, digivolution requirements, burst digivolution". For example, a card with the text "Knightmon" refers to a card whose name is "Dark Knightmon" or whose effect says "Knightmon".
Q2: When this card in the Breeding Area evolves into a Digimon card that has "Pulsemon" text or "Seekers" in its trait, does this card's Your Turn effect trigger?
No, it will not trigger. In the Breeding Area, no effects other than those of the Breeding icon can be triggered or activated.
Q3: Can the inherited effect of this card be activated even if the opponent's Digimon and the Digimon that has this card as its digivolved card are deleted at the same time?
No, it cannot be activated.
Data Sources
Lv.3 Pulsemon BT20-029 C Rookie | Vaccine | Beastkin/Abadin Electronics/SEEKERS [Digivolve] [Bibimon] or Lv.2 w/[SEEKERS] trait: Cost 0 [Your Turn] When this Digimon would digivolve into a Digimon card with [Pulsemon] in its text or the [SEEKERS] trait, reduce the digivolution cost by 1. --- Inherited: [All Turns] [Once Per Turn] When this Digimon deletes your opponent's Digimon in battle, gain 1 memory.
Lv.3 Pulsemon BT20-029 C
Rookie | Vaccine | Beastkin/Abadin Electronics/SEEKERS
{{DigivolveFromNameOrTrait|0|Bibimon|2|SEEKERS}}
[Your Turn] When this Digimon would digivolve into a Digimon card with [Pulsemon] in its name or [SEEKERS] trait, reduce the digivolution cost by 1.
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Inherited: [All Turns] [Once Per Turn] When this Digimon deletes your opponent's Digimon in battle. gain 1 memory.Lv.3 パルスモン BT20-029 C 成長期 | ワクチン種 | 獣人型/AE社/シーカーズ 「ビビモン」か特徴に「シーカーズ」を持つLv.2:コスト0 【自分のターン】このデジモンが「パルスモン」の記述があるか特徴に「シーカーズ」を持つデジモンカードに進化するとき、支払う進化コスト-1。 --- Inherited: 【お互いのターン】[ターンに1回]このデジモンがバトルで相手のデジモンを消滅させたとき、メモリー+1。