Walk away Wife having affair

[Hurt06]

Me 44
Her 37
THREE KIDS one teenager, 2 small under 8
Married 13yrs
Bomb Dropped SEPT 30th wanted separation
claimed to be WAW
Affair exposed NOV 13th says she won't stop.
Counseling NOV 20th says stopping.
Affair continues and gets deeper and darker.
Deep love affair uncovered goes back minimum 6 months and continues currently.
She is stay at home mom and I feel like I am empowering her by providing all means to continue affair.
Says she has stopped but continue to find she has not even when not actively looking.