That does not logically follow actually. We believe in the correctness of Scripture but there's nothing in the teachings of the Early Church, including Scripture itself, that declares Scritpure to the lone source of information.
2 Timothy 3:16 All Scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness,
And this also speaks to the same thing, but it does not address the completeness of Scripture in this regard (indeed, Scripture itself puts that notion to an end) nor does it suggest that Scripture is the only such source, which Scripture also indicates.
I can’t think of any place in the bible that points to an additional source of doctrine that is not contained in the bible. That being the case and with the weight of scripture about scripture I can think of no argument, because it would only be a human argument and not scriptural, that would trump the fact that the bible offers no other source for new doctrine. I hope that was clear, sometimes my writing is pretty spastic. I’m speaking here of doctrine not found in the bible like doctrines about Mary. The bible doesn’t point to a source of completely new doctrine unmentioned in the bible.