Use NRRD, which is the default format in Slicer.
You need to clean the thin shell around the skull. If you are not familiar with segmentation in Slicer, you probably need to read this documentation first:
https://slicer.readthedocs.io/en/latest/user_guide/image_segmentation.html
and this
https://slicer.readthedocs.io/en/latest/user_guide/modules/segmenteditor.html
You need to do this both for your new volume and T1
seg.nrrd is the default format for segmentation
You can go to the Segmentations
module and export your segmentation as a 3D model with a single click (Import/Export tab).