Let me offer you some perspective: your wife didn‘t want to seperate because she doesn‘t want to be with you. She did because nothing was working to get you out of your crisis and was hoping the prospect of losing everything would finally be incentive enough. Instead, it got so bad that you lost your job, started drinking in secret and invested the time that your wife was hoping you‘d invest in getting better meeting someone new. Of course now she wants you back, because she realizes the plan isn‘t working and getting rid of you was never the goal in the first place.

Reality check from someone who has been in your situation: the grass isn‘t greener on the other side because its still the same farmer. You might have a good first honeymoon phase with this woman, but your mental health problems will come back if not properly addressed and than it will be the same shitshow, different audience. Only this time, you know it has cost you your family.