it's not fair to the other people to get involed with people who are 1/2 heartedly trying to fix their marriage at the same time dating
if you don't wish to continue the marriage then go for a quickie divorce since you have grounds of adultery
was the OW even aware of the fact that you are married?
how can you demand commitment when you are out dating too?
what makes you any better than your wife who you're complaining about being out with OM?
you can't get a life without adding to the mess which you already have?
until the ink is dry on the divorce papers you are very married
if you want to date then get the ball rolling on the divorce
if you want your marriage then get to work on correcting the things which need to be fixed in your marriage
& leave the flousys alone - yes she's a flousy if she went out knowingly with a married man regardless of the fact that you say you're "Seperated = a condition of marriage"
so either she's a flousy or you lied to her either outright or by ommision
either way just because your wife is doing wrong doesn't make it right for you to also do wrong