Both Flat Earth and Globe Astronomers track the location of celestial objects such as the Sun, Moon, and stars, using measurements known as Declination and Right Ascension.
The top of the Firmament has a Declination of 90°, on Flat Earth we consider Polaris to be directly at the top having a Declination of exactly 90°; however on the globe model they consider it to be at a 89°.
The bottom of the Firmament has a Declination of -90°, and this becomes projected into the South Celestial Sphere that multiple people can see.
In the model below we see both New Zealand and Chile’s perspective at the same time while looking magnetically South despite different physical directions. Circled in red in the two sky view photos is the Southern Cross constellation. It has a Declination of -57°. This is a fixed star. This Declination never changes. It will always be orbiting between the Purple circle and the Red somewhere between there is the orbit circle for -57°.
This is important to understand. The constellation itself will always be visible. It doesn’t go away. The rotation of it will be different as shown in the photos. This is called Right Ascension and is the measurement of the it’s rotational period around the dome firmament. You can imagine it like a 24hr clock. 0h is the top, 12hr is the bottom. 24hr completes a full rotation around the Firmament which is one day, the same path the Sun takes.
This projection we are looking at is called the Celestial Sphere and in the south this convergence is known as the South Celestial Pole. You can load free Astronomy software such as Stellarium (https://stellarium-web.org/) and turn on the equatorial grid to see what your perspective looks like.