If the yeast in your sourdough have been replaced by bacteria gathered from the air, then I think you should throw it away ASAP.
Which, IMHO, is a fine thing! Bake where you are.
The local strains that led to so many wonderful tasting breads and beers have been lost.
I'd be as interested in learning how the local strains of yeast have changed over those intervening 4,500 years, as seeing he a good result trying to bake from what he retrieved.