Caption: The phases of Venus in the Ptolemaic system (left side) and in the Copernican system (right side).
Features:
As the diagram shows, given our assumption, Venus should NOT show a full set of phases in the Ptolemaic system.
The full and nearly full phases of Venus are difficult to observe, but it can be done by projecting the telescope image on a screen rather than using direct visual astronomy.
Note that Galileo did NOT, in fact, report on the phases of Venus in Sidereus Nuncius (1610, in English The Star Messenger). However, in the telescoping of history, it's much the same as if he did.
But the observations were consistent with the Copernican system. The observations do NOT prove the Copernican system, but they are consistent with it.
But the observations are also consistent with Tychonic system. So fraidy cats could always take refuge in the Tychonic system.
This Earth-likeness of Venus was evidence---but not by itself proving evidence---that the Earth was a planet as the Copernican system predicted. Probably, Galileo and some of contemporaries did note this evidence.
It has to be added that Venus unlike the Moon showed no sign of mountains and other geology.
Galileo and his contemporaries may that thought this was probably just due to the inadequacy of their telescopes. Their telescopes were inadequate, but, in fact, Venus is totally shrouded in a bland white-yellow Venusian atmosphere, and so the Venusian geology hidden in the visible band. The Venusian geology has been revealed in modern times principally by the Soviet Venera landers (1970--1982) and the NASA Magellan orbiter (1989--1994) which used radar mapping.