NO, DO NOT LEAVE THE MARITAL HOME. There are possible legal implications to that ("abandonment") -- one of the reasons why you should talk to an atty, to better understand the various issues at play here.
As someone said above, you don't initiate conversations, and don't get into ANY R (Relationship) convos with her. But DO be a great listener when SHE initiates them, provided they're not about OM (very disrespectful and even emasculating) and she's not screaming or being otherwise direspectful in any way. Also, you can let her observe you being present and conversant with OTHERS in your mutual presence.
If you start trying to "speak her love language" right now, at this stage when she's still in an unrepentant affair, she's only going to see it as weak and supplicating. NOT attractive. There'll be plenty of time for all that LL stuff if you guys make it to reconciliation ("piecing").
