Sell the house or keep it alone in case of a theoretical divorce?

I can actually only agree with Arauki11, open your eyeballs and act.

Piggy banks can also go through the separation year in a house, but just stay in your room and be glad "no kids"

You even let this nasty betrayal be explained to you as a quasi therapeutic necessity. Jürgeeeeeeeeen, I don't believe it!
You must be an extremely understanding and calm person, but don’t you really see that? It is infinitely mean and downright evil of her. You can separate or even fall in love again, that’s all human, but this is a really nasty and rotten thing.

Well summarized!

She herself is no longer sure of her feelings, currently according to her a separation is not an option either. According to her, contact with the affair is supposed to remain because it helps her a lot with the illness.

Don’t make yourself a laughingstock of her moods. As a woman, I say: she doesn’t want you anymore, but at the moment she is too lazy to carry out a separation. Because the rival is not the right one for her either. Sorry, Jürgen.

Piggy banks can also undergo the separation year in one house

But that’s crap! No one can find closure, no one can begin a mourning period, nor can begin the start of the end or the new beginning.
In half a year, the young love has cooled down and she talks soothingly to Jürgen. He is rather pragmatic and stays with her. And three months later it starts all over again and/or the trust has expired anyway.

She therefore married a fair-weather friend who does not stand by her in rough seas, but only wants to "half throw in the towel"

That is really the last straw. He did try. She is cheating on him. Did you overlook that? This is not rough seas, she capsized the ship.

Oh, that's nonsense. No one here knows the entire backstory and only rarely does someone cheat on their partner even though everything is going great in the relationship. Often people just grow apart and then live next to each other for years, that's just how it is. With children, many pull themselves together again, without children this "obligation" is missing and then one of the two simply looks for something exciting on the side. Looking for blame in that is stupid. But it is also very difficult to prove the separation year in the shared house, especially if one does not even want the divorce. Then a drunk evening of weakness is enough and the separation year is over and starts again at zero...

. My respect. You couldn't say it better.

Post of the year, nothing at all to add!