“gameplan is for counselor to convince my wife…”
Just a heads up, a good counselor won’t try to convince you or your wife of anything. That’s not how therapy/counseling works.
Also, knowing that she only committed to 5 sessions will make the counseling very stressful. It sounds like you had no other option, but that’s just the reality. It’s unreasonable to expect a major change of heart from just 5 counseling session.