The trouble stems from the fact that explanations like "opamp wants to do X" are already a condensed generalization. Much like a conclusion, but without the facts leading to it. Like a cookbook. You can choose to simply accept it, and that's fine. In fact, the more I study electronics, the more I'm willing to just accept things. Because else it always leads you down a rabbit hole.
The second problem is, we think the abundance of youtube videos and blog posts about every conceivable bit of knowledge will lead us to understanding eventually. But this is wrong. To really learn something takes a solid base, with a dedicated path laid out, during which you dive into the subject. If only somebody took the time to assemble a complete curriculum which you could work through, helping you out when you got stuck.
Oh wait they did that, it's called a university degree.
On a more practical note, the op amp section in the book "The art of electronics" really furthered my understanding of opamps. To be fair, I didn't have any before!
What I can recommend to you is: Build an opamp yourself on a breadboard with discrete components. You start out simple with two transistors. Hook it up to an oscilloscope and examine their behavior closely. Realize what a puny device this is yet.
Then you improve it with things like the long tail resistor, current source loads, current source emitters, gain stages, etc. For each step, you can verify and visualize the effect the component has on the circuit.
I guarantee you that then you will better understand and appreciate concepts like common mode voltage, stability, transconductance etc. it's a really useful learning exercise.