Already covered, Joker! Read read read read read! Take the previous case and reverse the guilt! So easy so easy soooo boooooring.
In such a case, lynch Gaap. She's innocent, oh dear! Why would that stop the Black Rose? I suppose you may need to have her confirm that to make this solid, but it seems clear enough that the Black Rose would not require her to live to enact its beautiful death on Bernkastel's agent. At worst, should this happen with three players left, this leads to mutual annihilation as Bernkastel loses her final agent as it kills the other remaining piece. However, we're currently paced to hit that with four players, which would leave Bernkastel a piece short and the game loss to her name.
Any earlier than that, and we have the space to lynch the piece claiming to be Black Rosed and lynch Gaap should it result in an 'innocent' flip. There's a lynch going spare in the previous designs. There it would go.
In fact yes, it's simple. Forget the timing otherwise. Out of mind. Irrelevant. If Gaap is alive with two agents down and her latest target feigns ignorance of the Black Rose, then it is safe (or at worst mutual annihilation) to lynch Gaap, as she either is the remaining agent of Bernkastel, or is about to kill the agent. The trouble with the timing - the key here being two agents dead by the time the fourth twilight begins - is that without that condition Gaap will be able to maintain the Black Rose of Xanatos long enough even if she is working for Bernkastel, something that doesn't definitely resolve.
Which is why it definitely resolves if Bernkastel's three agents are Goldsmith, Edna and Gaap, but not immediately for all sets of three containing Gaap.
Okay.
So.
That answers your question.
But.
Doesn't answer the extended, implied question.
No, Gaap seemingly cannot be cleared through red text alone.
Maybe I'll think more and see what else drops out. Such puzzles have ever intrigued me, and this can be no harder than the epitaph. *giggle*giggle*.
There are other random machinations that can happen, for instance the new Black Rose being placed on the same person Lady Bernkastel's agents kill that twilight. But such bizarre acts only serve to waste their potential mis-lynches and limits the rate of dead innocents, so can only lead to a swifter loss for Bernkastel.
...
Vegeta! I shall take that as a yes! The wording isn't the best, but you must be aware of the importance. With that confirmation and Edna and Goldsmith's squabbling I now officially declare you all but completely cleared in my book. Just one Bernkastel flip to seal the deal with wax, but I am so very sure we are hitting at least one now.