“Essentially being” is a concept you have. You have to show it applies to reality.
God can’t change is his essense, that is, cease to be God.
You said that it doesn’t follow that something that can change requires a necessary cause, but my point is that if something can change then being is not its essence. If it is not something’s essence “to be”, then it obviously requires something else in order to make it “be”.
Think about it: if something has being as its own essence, then it is what it is permanently. If it can change then it ceases to be it, and it therefore ceases to be, which is a contradiction in terms. Change is antithetical to being.
Now in the universe things have being and also change, but they can never be and change in the same way at the same time. I can’t be red and change to black at the same time, for example. Now if “being” is not my essence and yet I exist then I must have my being from something else in some way. This is the case for everything in the universe, and the universe itself.
There is nothing within the universe that has “essential being”; it can’t be known except by remotion, in how different it is from things we see. That said, it is demonstrable from the fact that the universe does have being despite also changing, so it must receive this being from something, and even if it is a chain of somethings it must come to something that has being without change, analogically like a chain of lights must eventually be plugged into an outlet if they are to light up. An infinite string of Christmas lights would not give off light unless they received an electrical current.
Now, if you think that something can change while still existing of itself then I’m genuinely curious to hear how.