Note how it says "The proposition that the Sun is the center of the world and does not move from its place is absurd and false philosophically and formally heretical, because it is expressly contrary to Holy Scripture", and "the said opinion [...] can in no wise be probable which has been declared and defined to be contrary to divine Scripture" and "it is declared that the doctrine of the motion of the Earth and the stability of the Sun is contrary to the Holy Scriptures and therefore cannot be defended or held" and so on.
Note also that they never mention Aristotle.
Note also that in 1536 Petrus Ramus successfully defended his doctoral thesis that "Quaecumque ab Aristotle dicta essent, commentitia esse" ("Everything Aristotle said was wrong.") without the Roman Catholic Church so much as batting an eyelid.
But you're putting the cart before the horse here. Sure, they backed the geocentric cosmology of Ptolemy rather than the heliocentric cosmology of Aristarchus of Samos but that wasn't because they had a big crush on Ptolemy or because they did eeny-meeny-miney-mo but because they thought that Ptolemy's teaching fit with Scripture and Aristarchus's didn't.
Well, you know, I showed you the document. There's eleven mentions of Holy Scripture in there and none of Aristotle and Ptolemy. You might say that they were misinterpreting scripture, you might even say that the plausibility of the Ptolemaic model made it easier to do so. But they thought they were defending Scripture and not Ptolemy just as when you talk flood geology you think that you're defending the Bible rather than Henry Morris.
Most of my arguments are based on my own completely original observations of geological information, in most cases without referring at all to the Bible or Morris or anything except the physical information.
But your position was invented by a bunch of YECs and is nowhere to be found in the Bible, is my point. Yet you refer to your position as the Biblical position and think you're defending the Bible rather than the people who invented and promulgated your beliefs about geology; and you are apparently sincere in doing so. Why not admit the same sincerity in geocentrists? --- especially as it is much easier to find geocentrism in the Bible than "flood geology".