I spent a lot of time confused between paving the way and cake eating at first.
It took me a while (and a bit of MLC experience) to flesh out the difference.
I think at times the actions can look very similar depending on where the MLCer and LBSer are.
Letting your MLCer come round for Sunday dinner, because you want to piss off the OW, you miss him...you want x, y , z.... is probably cake eating. You have a motive. You expect a result. You hope this will buy them over. That is being a door mat (and slightly manipulative), the MLCer benefits, generally at the cost of you/the kids.
Letting your MLCer eat dinner with you and the kids after he spent all day out in the garden is paving the way. You expect nothing in return. It is a common courtesy you would offer anyone who was working hard helping you. You know this will not fix them, or make them come home. You are just showing your children what is the 'kind' and 'polite' thing to do. Not for the MLCer benefit.
This is just one example from my experience but I think with a clinging boomerang the premise is the same. From the outside ''dinner with the MLCer'' looks the same, but the circumstance and premise are very different.
In general I am polite to him, I treat him how I would any distant friend, I don't stop him seeing his kids, I don't expect anything from him (intentionally). If he text me, I reply like I would anyone. I no longer reach out in text for him, and that took a very long time to stop. If I don't text him, he generally texts me within a day or so. He never waits very long. So paving the way here is just being a nice human being, regardless of the fact they probably don't deserve it after their actions. It's more about you than it is about them.
If he is over to see the kids and starts to spill his guts, I listen, and I joke as I normally would...but I keep my true feelings and the nasty remarks to myself. So in part 'paving the way' is controlling our anger and rage about the injustice, and keeping our lips zipped at times we just want to say ''Well who's fault is that?!''
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I don't offer him to come to anything with me and the kids, but if he asks to come, or asks us out..I always allow it. Not for his benefit but for the kids. I will never deny him a relationship with his children because I know how damaging that can be. But at the same time, if he asks us to come (specifically including me) I know that this is his way of...trying out the waters so to speak. He is conflicted in his head about the story that we 'don't get on' and 'I am so evil' and 'a matron'...then we go out and he has a great time and the story doesn't align. I think those moments are important and definitely part of 'paving the way'. I believe they need moments like this where the story they tell themselves don't match reality, otherwise how can they ever question themselves?
In general there is nothing we can do to 'bring them home', but I think there is a hell of a lot we can do to drive them away. Paving the way is just about containing our pain and anger, and treating them like you would anyone else.... Yet allowing an opening for them to approach you when/if they decide to.
I think those openings come when we least expect it. A desperate phone call from 'prisoner'..that you listened to without judgement. An extended chat in the car park at a kids function where they ask your advice or opinion on something. A family day out when you catch them staring at you with the look they used to have.
If you can manage to contain all your emotion and rage to allow these moments to happen organically (not try and manufacture them) then eventually when/if they do wake up....reconnecting will be easier for them to face. And what is paving the way if not making the road to re-connection easier?
You know this is MLC when you have played emotional hot potato with a pair of crotch-less tights.