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human
[Indiana Jones] When Indy saw that the Nazis were digging for the Ark in completely the wrong place, why didn't he just leave?

So Indy travels to the Nazi dig site in British controlled Egypt. He sees the Nazis aren't digging anywhere close to the where the Ark is and instead uses the staff/medallion to find the actual location of the Ark, then digs for it himself, and gets himself and the Ark captured by the Nazis.

Why didn't he just leave and inform the British colonial authorities? Egypt was technically independent but the British controlled their foreign policy and even internal policies including surrounding the King's palace with tanks to make him replace a coalition government the British didn't like with one more to their liking. Of course, the British and Nazi Germany were not on good terms in 1936 and they would not have been pleased to find out there are armed Nazi soldiers operating in their colony. Indy could have easily left, informed the British, the British would have cleared out the Nazis, and then Indy could have dug up the Ark unmolested.
gpt
There are 2 main reasons

1) It wasn't a Nazi site, per se. The Germans did have various digs, expeditions, etc... throughout the world prior to the war, usually conducted by the Ahnenerbe, a German think tank. They had a Frenchman running the site, and the Nazi military was never "officially" there. All their paperwork and permits would be in order, and any military equipment would have been deemed military surplus, and have been gifted to the archeological group, any military personnel were off duty, and probably shouldn't have worn their uniforms, and they will be reprimanded accordingly. The British really would have no recourse to intervene, and they certainly were not going to start an international situation over it.

2) As for why not just let them keep digging, Indy knew that it would only be a matter of time before they realized they were in the wrong spot, Belloq was still a good archeologist. And when he realized they were digging in the wrong spot they might start looking again and may eventually stumble or figure out the right spot. Indy had one chance to get it before they figured it out, and he took it.