Actually, there seems to be docuмentation showing Galileo truly reversed his belief on Heliocentricity.
On the 29th of March 1641, Galileo responded to a letter that he received from his colleague Francesco Rinuccini, dated the 23 rd of March 1641, containing discoveries made by the astronomer Giovanni Pieroni concerning the parallax motion of certain stars, from which both Rinuccini and Pieroni believed they had uncovered proof of the heliocentric system.
"The falsity of the Copernican system
should not in any way be called into
question, above all, not by Catholics, since
we have the unshakeable authority of the
Sacred Scripture, interpreted by the most
erudite theologians, whose consensus
gives us certainty regarding the stability of
the Earth, situated in the center, and the
motion of the sun around the Earth. The
conjectures employed by Copernicus and
his followers in maintaining the contrary
thesis are all sufficiently rebutted by that
most solid argument deriving from the
omnipotence of God. He is able to bring
about in different ways, indeed, in an
infinite number of ways, things that,
according to our opinion and observation,
appear to happen in one particular way.
We should not seek to shorten the hand of
God and boldly insist on something
beyond the limits of our competence….
D’Arcetri, March 29, 1641. I am writing
the enclosed letter to Rev. Fr. Fulgenzio,
from whom I have heard no news lately. I
entrust it to Your Excellency to kindly
make sure he receives it.”