Hey OP, I'm sorry you are here. Like others have said, three months is very early on. I was barely functioning at that stage.
Please take what I have to say next, in the spirit it is offered. I am thinking of what is best for you.
(pray, accept, heal, forgive, surrender everything to God and the serenity prayer)
Now, I am a man of faith and I follow the way, so I respect people of faith. That being said, my experience in the last four decades as one who believes, is that the faith community can sometimes do more harm than good when it comes infidelity. Often, the tendency is to rugsweep, make it go away and return to business as usual. Often, the pressure is put on the BS to forgive as they have been forgiven, while the WS is washed clean and absolved of guilt. While I understand the theological underpinnings of this, the practicalities that none of what you listed is achievable until both of you have done the hard work in your individual lives. Only then can you attempt MC. If people have not experienced infidelity invtheir own lives, then they often have some wonky ideas about it and how to heal. They figure you just get over it and Often become frustrated if you don't. That's why yhis site is so valuable. We share a common trauma.
What you listed are goals, not approaches to healing. Yes, the serenity prayer is good, but not if you force yourself to repeat it without engaging in the process of healing. Let's take the concept of forgiveness. What does it look like to you? Does your WS need to earn it? If so, how? What metric will you use to judge progress? What about timeline? How long? Does it include staying together? Etc. I am 6 years out from Dday and I have not uttered the word forgive to my EXWW. Not sure if I ever will. I'm more or less indifferent now. I don't wish her ill, and I don't wish her well. I just don't wish her anything.
I did IC, then MC, then I filed and did some more IC. I'll be honest, my IC was just not very good. One of the crappy exercises she gave us, was a script we had to read to each other while facing and holding hands. I was to look deeply into the eyes of the woman who had recently blown a stranger in a parking lot and tell her that she was amazing. I tried it once, almost threw up in my mouth, laughed in her face and walked out. I wish I would have found a trauma specialist who is experienced in infidelity. Hopefully you can find better. IMHO, I'd stay clear of religious IC, as the theological stuff can add a layer of complexity to the therapy, but it's your call. So,if you can't get IC, then I suggest you read, journal, and keep posting here. The aggregate wisdom and experience of this place is invaluable. It saved me. Soon enough, you will internalize much of the information here, which will help in your healing journey. Take your time and give yourself grace.