No, I meant, that’s what they are going to agree upon doing in the end. Both have lost their way and are not content with who they are. They will trade place to solve each other being stuck in their lifes. Beate can stop being Beate and be Lottie. Lottie can stop being Lottie for a while and be Beate.
This might be a reference to a German children’s book Beate would definitely know, Erich Kästner’s classic “Das doppelte Lottchen” (lit. ‘The Doubled Little Lottie”, English translation “Lisa and Lottie”), which tells the story of Lotte and Luise, two identical twins who were separated as babies when their parents split up, meet as girls in summer camp, realize they are sisters and switch places to get to to know the parent they haven been growing up without https://en.wikipedia.org/wiki/Lisa_and_Lottie