They are not exclusive. If you have any time for this, read Aristotle’s Ethics and Politics, then read his Metaphysics. When you see his description of God, without the aid of divine revelation, the words of Jesus Christ “many have longed to see what you see” come echoing out of the page at you.
If you are a Christian, then you cannot believe that God suffered any alteration as the result of Creation, Incarnation, or Redemption. He is infinite, not capable of any defect. This is a mystery, not something a human mind can comprehend. One of those questions we will get an answer to later, when we get the “B” model of our body and we get to see Him face to face.
For God to stay the same is the keeping of a promise. The sameness does not imply an incapacity to be moved, only the impossibility of being moved against his will.
This kind of thing is what makes much of Romish theology so obviously false to evangelicals. The latter see that the former are inclined to pop on the pagan glasses du jour.