"If the story of Adam and Eve wasn't true and correct, then there wouldn't be any humans."

You have a very binary understanding of what is necessary for something to be true that is almost dogmatic.

The rules of chemistry need not be true and correct for formulas to succeed. People were doing correct things for the wrong reasons, even scientifically, for centuries, if not millennia. Think about things like surgeons not washing hands, inefficient gunpowder, bloodletting, or the attempts at a unified theory of Physics - we know that not everything is correct, yet the formulas don't fail at small enough scales/slow enough scales/within certain observational parameters.

You're right that science aims for truth, but that doesn't mean it can attain anything more than our closest approximation of the truth (limited by human perspectives and resources). We believe in it because it is what works, for now. And the beauty of this is that if one day some incontrovertible proof for a higher being does come up, we will recalibrate all our theories to account for it (presumably after very, very stringent checks.)