Apple ID update failed

Hello!

I just changed my Apple ID from my old email to the new one. I have successfully updated my email.

I use 2 devices: MacBook and iPhone. For Mac, I have successfully updated my new Apple ID, but my iPhone keeps showing the notification like the image I provided. The system told me to update my Apple ID, but when I clicked it, it told me to enter the password for the old email.

How do I update my Apple ID with a new email for my iPhone?

I hope everyone can help me. Thank you!