What was the significant political error Galileo made in his 1632 publication?

Answer

He portrayed Pope Urban VIII’s own arguments into the mouth of the character Simplicio.

Although written as a dialogue, the book overwhelmingly refuted geocentrism, and using the Pope's arguments through the character Simplicio, who was portrayed as a fool, constituted an unforgivable political misstep leading to trial.

What was the significant political error Galileo made in his 1632 publication?
Galileoastronomysciencesolar systemheliocentrism