Can we upload mutiple template for one content type?

I use Document Set Content Type and choose a content type available for this Document Set.

Sharepoint create a default word document named "Content Type Name" as its template. I can upload another document template via Advance Setting of this avalable Content Type. But only one template.

I need more than one template belong to the content type available in Document Set. Can we?

I know we can create template and change content type easily outside the Document Set, but inside the Document Set, I don't know how to do that.