מְנָה

Ezra 7:25 מֶ֣נִּי appoint

And you, Ezra, according to the wisdom of your God, which you possess, are to appoint magistrates and judges to judge all the people west of the Euphrates—all who know the laws of your God. And you are to teach these laws to anyone who does not know them.

Here: A command: 'appoint, assign.' The root basically means 'count, number', the same root as 'MENE' in the writing on the wall in Daniel 5. Here it means formally installing people in office.

Daniel 2:24 מַנִּ֣י he had appointed

Therefore Daniel went to Arioch, whom the king had appointed to destroy the wise men of Babylon, and said to him, “Do not execute the wise men of Babylon! Bring me before the king, and I will give him the interpretation.”

Daniel 2:49 וּמַנִּ֗י and he appointed

And at Daniel’s request, the king appointed Shadrach, Meshach, and Abednego to manage the province of Babylon, while Daniel remained in the king’s court.

Daniel 3:12 מַנִּ֤יתָ you have appointed

But there are some Jews you have appointed to manage the province of Babylon—Shadrach, Meshach, and Abednego—who have ignored you, O king, and have refused to serve your gods or worship the golden statue you have set up.”

Here: 'You appointed', the same verb used when the king installed them in 2:49. The point is barbed: these are your own appointees, raised by your favour. (The same root gives 'MENE', 'counted', in 5:25–26.)

Daniel 5:26 מְנָֽה־ he has numbered

And this is the interpretation of the message: MENE means that God has numbered the days of your reign and brought it to an end.