Remember that W2 is Informational.

You don't add them together. They stand separately. Some States have you report all income and they tax it. Some will tax it and then give credit back for tax paid for it in other States. Some will have you allocate it per locality, and then tax it.

That's why you don't add them. That's adding kittens and apples.

The one marked "Employee Records" likely means your taxpayer client or their employer separated their forms incorrectly. It's the wrong copy, but if you are efiling, that doesn't matter.

There is no conflict here. That's specific info that needed to be provided specifically.