He went to the Vatican six times before and after, and Urban VIII finally said that lifting the ban was no problem, but you should still treat it as a hypothesis.
At the same time, when writing the book, two requirements must be met:
1. Fairly describe the opinions of both sides, especially reminding Galileo not to lean towards the heliocentric theory.
2. Hope to include his own words.
Then Urban VIII joyfully took his hands off the keyboard and happily awaited the publication of the book in Rome.
For this, he also persuaded both the heliocentric and geocentric factions not to express any stance.
Mainly to highlight the impartial authority of the Holy See and also to include his words into this monumental work.
1632.
Galileo completed "Dialogue Concerning the Two Chief World Systems: Ptolemaic and Copernican."
But here's the cheeky bit:
