Since you will have exclusive possession of the home then make for damn sure she signs the deed over to you and put it in writing that she is not entitled to any of the proceeds should you sell the home.
Also let her know you won't be offering any spousal support and if she does not agree to that you decline mediation and will proceed forward with judicial intervention. It is then you will expose the courts to her affair.
Who cares what she meant by "roll the dice". Let her know you don't gamble nor play games when it comes to you and your children and you are fully prepared to do exactly what you deem necessary to ensure a solid future. Any further legal talk should be done between attnys.
