How can I update the Photos App on my MacBook Pro?

Hi

Photos is updated with Macos. You have Monterey, so you have photos 7 which is the latest.

Don't confuse it with version numbers for iPhoto (the older app replaced by Photos some time ago) which goes to higher version numbers.

To convince yourself that you are having the most recent version of Photos, you may want to check the creation date and modification date in the Info for Photos in the Finder, in addition to the version number.