Microsoft 365 features that help users manage their subscriptions, account settings, and billing information.
No, you cannot sign into the school account in the app store.
If you need to use the Office apps, as long as your school account has proper license, this is how you install.
Please go to https://www.office.com
Sign into your school account you. Click on Apps on the left.
Then on the upper right, click on "Install apps". This will now download the installer file. Once downloaded, click on the file to install. It will install the Desktop version of the apps for you then.
If you don't have the license, contact school IT, make sure they assign you the license.