What would you call the notifications from a website on your laptops/desktops/tablets? A. Web notifications B. Desktop notifications C. Browser notifications
I'm assuming this is a label you're going to add to the notification, something users are going to see.
Not B. If I'm getting a notification on my desktop the label doesn't need to tell me that it's a desktop notification. "Desktop" doesn't help me understand what the notification refers to.
A surprising number of users I've spoken to don't know what a browser is. So not C.
Therefore, use A.
If you're looking for a label used only in a technical document that users won't ever see, then B might be the way to go. That label tells the reader that these are notifications from the website that appear on the desktop, outside the normal context of this document.