I get the feeling that attacking here is actually a trap. That this "game" is a Secret Test of Character. I get the feeling that every aspect of this battlefield is a metaphor for something.
If so, keep in mind that the twins expressed frustration earlier that the multiple choice section of the test forbid them from using a write-in response to achieve an Everyone Wins outcome. Now it would be the free response section, so it's their chance to try to take advantage of the change in rules.
Instead of attacking the Queen, perhaps do something like attack the environment? Something like this.
[ ] You don't like this game. Games should be about everyone having fun, not facing situations where every option is bad.
-[ ] Cast Scorching Sunlight at the chained ceiling. Break the chains that restrain your freedom and bring light to this world of darkness.
--[ ] Show your Determination to prove that Love really can conquer hate, prejudice, and fear.
I could be reading too much into this, but this whole update feels like Hand of Fate is testing us with a giant metaphor for the places magical girls stand in the world, to see which of those places we represent at heart.
If so, we need to prove to her that we don't accept any of the pre-existing answers and have the determination to make things better.
It is actually the fact that Two Minds Joined In Harmony explicitely states it can not be interrupted.
Doesn't really change my point. Abilities generally don't get that type of clause without a reason. Everything about the ability seems to be pointing towards them becoming more and more of a single metaphysical entity (but still two distinct physical entities) over time.