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

I only have 1 or fewer cards left in my security stack. Can I activate this card’s <Main Timing> effect?
Yes, you can. If you do, trash as many cards from your security stack as you can.
Ruled Mar 28, 2024
Can I use this card’s <Main Timing> effect on cards with [Agumon] in their name? (For example, [Agumon Expert], [ToyAgumon], etc.)
No, this card’s <Main Timing> effect only affects cards whose names are [Agumon].
Ruled Mar 28, 2024
I activated this card’s <Main Timing> effect to digivolve into [Agumon - Bond of Bravery]. I had 1 or more cards in my security stack at the time of activation, but another effect causes my security stack to become empty later that same turn. Do I get to keep [Agumon - Bond of Bravery] in play at the end of the turn?
No. If you had 1 or more cards in your security stack at the time the effect finished activating, [Agumon - Bond of Bravery] will be deleted at the end of the turn, regardless of how many cards are in your security stack at that time.
Ruled Mar 28, 2024
I have 2 copies of this card in play. I use the first copy’s <Main Timing> effect to digivolve a Digimon into an [Agumon - Bond of Bravery] while there are 1 or more cards in my security stack. I use the second copy’s <Main Timing> effect to digivolve a different Digimon into [Agumon - Bond of Bravery] while my security stack is empty. What happens to each [Agumon - Bond of Bravery] at the end of the turn?
The first copy’s effect was used to digivolve into [Agumon - Bond of Bravery] while your security stack had 1 or more cards in it, so [Agumon - Bond of Bravery] will be deleted at the end of the turn. The second copy’s effect was used to digivolve into [Agumon - Bond of Bravery] while your security stack was empty, so [Agumon - Bond of Bravery] stays in play at the end of the turn.
Ruled Mar 28, 2024
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