Flat Earth can predict and calculate nothing.
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We've been able to do that for millennia (at least). It has nothing to do with the believed shape of the earth. It has to do with watching the lights in the sky, recording them, and noticing the cyclical pattern. The shape of the world isn't involved, as much as you may want it to be.
The formula to calculate sunrise and sunset in a location requires the earth to be round.
If it isn't round, how can the formula be accurate?
So you believe. But the earth does it what it does, and the sun rises at the time it does irrespective of that belief.
The movement of the lights in the sky are cyclical/periodic. All you need are charts.
Lol, because the formula are built from (and in accordance with) the real observations. You are conflating useful with correct. They are not the same, and this is a common (i would say. encouraged) mistake.
It's a fact.
Fortunately, you can test it yourself.
https://en.m.wikipedia.org/wiki/Sunrise_equation
Show those charts.
If it's cyclic then there must be a formula to calculate it. Do you know a formula that does not require a round earth?
Correct, and the observation is that the Earth is round and rotates 15 degrees per hour. Without that part, the formula doesn't work.
If the Earth is flat, why does the formula work?
Why can you not produce these "charts" that you claim exist or a formula that doesn't require the Earth to be round?
Many facts are wrong/untrue. Facts are merely what your authority tells you are facts. You believe it is a fact (i.e. true).
However, your "proof" is circular.
Premise : The world is a sphere because equations which include its sphericity work to predict sunrise/sunset times.
Conclusion : The equations work because the world is spherical.
The premise IS the conclusion, and does not follow from it. It's circular logic.
Because we built it to! It coincides with the actual measurements that we made of the sunset/sunrise times because it was built from / confirmed against such charts.
Our conception of the world and its workings can be (and most often are) entirely wrong and still be useful.
I won't because i don't do people's homework for them - it makes them worse students/researchers. If you earnestly search for such charts and fail to find them, then we can talk about what you tried and i will do my utmost to help you. Finding charts of the sunrise and sunset times should not be difficult.
Charts do not require the world to be any particular shape, just like the times for sunrise and sunset within them. They simply are.