I am aware that The Spanish Inquisition, which lasted for over four hundred years, was for the legitimate defense of Spain and that the Inquisition strove to be quite fair and the actual numbers of executions and aquitalls reflect that. I am also aware of English/Protestant propaganda in regards to The Inquisition. However, I am not aware that The Flat Earth story is the same thing, particularly since The Bible depicts a Flat Earth. I mean just because Protestants and The English used The Spanish Inquisition to defame Catholics, doesn't mean it didn't occur. So, I doubt this question is as settled as you say. However, I am interested in reading other threads on the topic and would apprectiate any suggestions.
The claims that Catholics at the time of Columbus believed in a flat earth are even less true than the claims about the Spanish Inquisition. While Catholics disagreed on the shape of the earth during the Patristic period we had reached a consensus that it is a sphere long before the time of Columbus. St. Bede wrote an influential work teaching the earth is a sphere around 700 AD and this remained the position of educated Catholics from that point on. St. Thomas Aquinas and St. Albert the Great taught it. The Church-run medieval universities taught it.
The majority of Catholics throughout history have not believed that Scripture teaches the earth is flat. St. Augustine, around 400 AD, taught the Scripture is silent concerning the shape of the earth. So did St. Basil. This is the view that spread through the Church and was eventually incorporated in a papal encyclical. Catholics believed it was a matter to determine through science, and that is what St. Bede, St. Thomas, etc. did. They all believed that science showed the earth is a sphere. (Of course, you are free to disagree with them about science, if you want.)
The idea that Scripture teaches a flat earth comes from Protestants and is not the Church's interpretation of Scripture. So we are not free to claim that Scripture teaches the earth is flat.
Here is a post with more detail about Columbus:
https://www.cathinfo.com/the-earth-god-made-flat-earth-geocentrism/did-catholics-before-the-'reformation'-believe-in-fe/msg581137/#msg581137And here is a post with more about St. Augustine:
https://www.cathinfo.com/the-earth-god-made-flat-earth-geocentrism/the-shape-of-the-earth-is-not-important-to-the-faith/msg612710/#msg612710