I would believe it if you could show me an original transcript with the word cross in it but you can't they all use the unglamourous word stauros aka stake until the third century writers changed it to cross even crux in original meaning is latin for stake only.
The burden of proof is on christendom to prove that Jesus died on a cross to justify replacing a biblical inspired word that made no indication of shape to 'cross' which make a definite allusion to the shape of his death instrument. to be honest none of this would matter accept for three points.
The inspired words of 4 gospel writers use a word that makes no indication of shape and if they simply didn't have a word for it, if the shape was important? God would have inspired a further description from at least one of the writers under inspiration elaborating on it IF IT WAS IMPORTANT.
Using torture/execution stake has the authenticity of being a direct translation of the original inspired words!
thirdly the cross is an idol! the foremost one of Christendom, idolatry is a major sin and here the wrong wording from third century was at least in part responsible for this although it is arguable that the wording was change to allow for the idol either way it is wrong.
and despite my wrong emphasis on the word snake lol my previous point stands when Jesus foretells his death he uses an example indicating a stake-like death not a cross one.