Dee, welcome to this sub-forum! As others have described, AVRT works whether you follow a spiritual path or not, and there is no conflict. I am free from alcohol with AVRT, and my spiritual practices help me with how I live my life in general.
I was in AA during my first year of sobriety, and I still use tools I learned there, such as a gratitude list and the serenity prayer. But my sobriety does not depend on those things, they're just helpful practices for me as I move ahead with my life.
Welcome aboard!