Sadly, you can't.
You have discovered--like many of us customers have--that the new Google Nest cameras and doorbells released in the fall of 2021 do NOT work with the Google Nest app and CANNOT be accessed from the home.nest.com website from your browser on your computer. They can ONLY be accessed from the Google Home app, even though they are "Nest" products.
For now (at least), we have to use two apps (Google Home and Google Nest) to manage our new and old Google Nest cameras, with no computer browser access for our new camera(s).
Google's explanation for this (along with many customer reactions) can be found in these blogs on this forum:
Our long term plan is to use the Google Home app as the one place you can control all of your favorite Nest and other smart home devices, as well as Google Assistant. In the near future, we’ll allow users to set up previous Nest devices and have full control in the Home app.