I contacted them through support and they scheduled a repair/service appointment at the nearest Best Buy. They told me most likely if the battery is actually swollen as described they would replace the entire unit at no cost since it falls under one of their 'quality of service programs'.
So, I'm hopeful. Do they actually still have entire iPhone X units for replacement or did they move on to replacing with XS models?
They'll probably have refurb X models to replace yours with. Let us know how that goes! I might do that instead of trying to rig my phone together. Haha