The question I am waiting for the answer to is who put those Scrabble™ tiles there?
All of the people who could reasonably have left Lottie her attacker’s name as a clue were rendered hors de combat by tainted beverage!
Likewise, if they were all incapacitated, who knocked all the furniture about? Although I suppose that could be the result of Beate struggling to move three bodies around the apartment on her own.