2 official rulings from Bandai, last ruled Mar 28, 2024. Straight answers to how this card actually resolves.

Does this card’s <Opp Turn> effect activate when an effect from a card like [BT1-089]/[Mimi Tachikawa] moves a level 3 Digimon from your opponent's breeding area to their battle area outside of their breeding phase?
Yes, it does.
Ruled Mar 28, 2024
During the breeding phase, I move a Digimon from the breeding area to the battle area and due to this card's <Opp Turn> effect of my opponent, and the memory gauge moves to 1 or more on my opponent's side. In this case, do I have a main phase?
No, the main phase doesn't take place and the turn ends.
Ruled Mar 28, 2024
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