There are a multitude of things tied into that question.
As well as geocentric vs heliocentric; there is also flat vs round, and in that subcategory of flat, there is the question of if it is just a tiny portion of Earth, or the entire globe; and if they had the sun set by setting and going below Earth, or by going far away.
But there is also the question of if they thought about it at all.
From what I have read in various places, it appears to be a flat model, but I don't know anything indicating if earth is moving or not.
We should care very much as there’s evidence to show that they may have possessed technology more advanced than ours.
No, there isn't.
There is distortion of things, often reinterpreted to match what we have today.
But no actual evidence of advanced technology.
This video explains one possible example of what we perhaps were once capable of.
This video starts with a blatant misrepresentation of Tesla.
Tesla wasn't trying to harness some magical energy, he just demonstrated how it could be transferred wirelessly.
That wasn't followed up on, because no one wanted to pay to send power everywhere without being able to charge for it.
And there is still plenty of evidence for it around.
But do you notice something really ridiculous about that?
They claim he tried doing that, but then that there is no evidence of it left.
So where is the evidence that he is using to make his claim?
No where. i.e. he is claiming things with no evidence.
When your video starts off so horribly wrong, why should anyone waste their time on it?