Unfortunately, Google Nest does not make it easy to change Wi-Fi settings on most of its devices. That's why their first recommendation when getting a new router/modem is to set the network name (SSID) and password to the same values used on the old router/modem.
On some older cameras, you may be able to change the Wi-Fi setting in the Google Nest app:
If that's not possible, then their process is removing the Google Nest device from the Google Nest app or Google Home app while still on your old Wi-Fi network, then doing a factory reset, and then reinstalling the device while on your new Wi-Fi network.
Awesome, you did a great job! As we got our resolution here, I'm going to mark this thread as complete. I'll be locking this thread if we won't hear back from you again in 24 hours. Should that happen, feel free to create a new one if you have more questions or have other concerns in the future.
Thanks for the help, MplsCustomer.