Solved
I moved from NJ to CA in Feb 2024.
The system claimed that I shall be a Nonresident for NJ and Resident for CA. That might be incorrect. (I shall be part-year resident for both states)
What made things even worse is that no button is available to correct the residency status for CA. Any advice is very welcome thx!
In the personal info section of TurboTax where it asks for your state of residence, there's a button to also indicate you were a resident of another state during the year. Make sure that box is checked and that you choose New Jersey. This should allow you to set your residency as part year resident for both states.

Next, make sure you choose No for the question that asks if you earned income in another state. If you did earn income in a state other than CA or NJ, choose yes and only include that state - not NJ.

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