The point of the LRT is TO detach.. basically put - IGNORE HIM, not just his affair, but IGNORE HIM... That's what MWD is getting at... Act like you have given up and are moving on... act like you are planning divorce and cut him out of the loop of your life... THAT is LRT
In your case I would need to read more history, but I think you need to better understand exposure.
The purpose of exposure is NOT to be spiteful... Is that what you think we are reccomending this for? Spite?
I would need to find all your threads and read them all in detail, but from what I do see skimming you two are in an unhealthy dynamic of you parenting him, him ignoring that and doing what he wants, and then crying when you scold him again, but no consequences when he cheats and the cycle starts all over again.
This is NOT how to combat infidelity, it won't help you one bit in my opinion.