Globe earth was around for even longer than the Church. It started with the occultist, Pythagoras.
Only St. Bede clearly believed the globe. It is reasonable to presume that people continued to accept the flat earth for a long time after the middle ages. Even if what you say is true.
This is the most reasonable position.
I think an objective observer will see you are trying to push this case and impose your view on the past. Despite the evidence.
Combined with the fact that you admit you do not look at the science, and people will see you are not objective about this.
It was not only Bede who clearly believed the globe. I have been mentioning him because he is a Saint and Doctor of the Church. There are records of many medieval Catholics who believed and taught the globe. Johannes Sacrabosco wrote the influential
De Sphaera. Gerard of Cremona translated Ptolemy's
Almagest. William of Conches and Roger Bacon taught the globe, as did St. Albert the Great. It was mentioned in literature by Chaucer and Dante.
In medieval universities, astronomy was thought of as a sort of applied mathematics and was a core subject. Virtually everyone who attended university studied astronomy and, when they did, they learned the earth is a sphere. We know what text books they used.
It is not reasonable to presume that people believed in flat earth and left no trace of this belief. People here have speculated that the uneducated believed it or that those who believed it had to keep it a secret for some reason. But you have not offered any evidence to support these speculations.
There is a massive amount of evidence showing that many medieval Catholics believed in a globe and no evidence of people believing in a flat earth. I am not the one who is imposing my view on the past despite the evidence.
The science is not relevant to this. Even if it were conclusively proven that the earth is flat, it would still remain true that Copernicus did not re-introduce a spherical earth to a flat earth believing Christendom. Whatever shape the actually earth is, the consensus among medieval Catholics was that the earth is a sphere.