Do a Google search for "flat earth southern star rotation". You are responsible for researching your opponent's position.
While one could say a side in a debate has some responsibility for researching their opponents position, they have no burden to provide arguments for their opposition.
The person claiming Earth is flat needs to provide it.
Also, a common tactic with those with no answers is to tell people to search for the answers which they claim already exist.
If it is so simple, it should be easy for you to provide the answers.
The south celestial pole (and its corresponding star) show there must be a south pole.
This cannot be a point out in wildly different directions.
It shows that if you go due south on Earth, it needs to converge to a point (or be a cylinder).
This shows that the north pole centred AEP presented as the common FE map, cannot be a true map of a flat Earth.
You could switch to a south pole centred one, but that just shifts the problem to the north with the north pole star.
You could switch to one centred on the equator to get a bipolar one, but that just shifts the problem to the equator with the sun on the equinox.
The only actual solution to the problem (rather than just pushing the problem around) is to make Earth into a roughly spherical, cylindrical or bi-conical shape.
If you think there is another solution, feel free to present it, clearly explaining why a point can be observed looking outwards, in completely different directions.