The Ark won’t be found, and in fact, soon enough nobody will even care to look for it:
“And it shall come to pass, when ye be multiplied and increased in the land, in those days, saith the LORD, they shall say no more, The ark of the covenant of the LORD: neither shall it come to mind: neither shall they remember it; neither shall they visit it; neither shall that be done any more.” Jeremiah 3:16
I would imagine given the technology of the time the wood and stone have long turned to dust. ‘They’ say it is in that little temple in Ethiopia.
2 Maccabees 2:6-8
6 Some of those who followed him came up intending to mark the way, but could not find it.
7 When Jeremiah learned of it, he rebuked them and declared: “The place shall remain unknown until God gathers his people together again and shows his mercy.
8 Then the Lord will disclose these things, and the glory of the Lord and the cloud will appear, as they were shown in the case of Moses, and as Solomon asked that the place should be specially consecrated.”
The 2nd chapter of the 2nd book of Maccabees tells WHERE the Old Testament Ark of the Covenant was hidden. According to the Bible passage cited above, the Old Testament Ark of the Covenant is in a covered-up cave on Mt Nebo in the Kingdom of Jordan, coordinates 31.765095 degrees N by 35719079 degrees E, just NE of the Dead Sea. It was carried just over 24 miles from Jerusalem, when Jerusalem was about to be conquered & destroyed, including the 1st Temple, by the Babylonians, about 586 BC. Q.E.D.