Moving macOS Mail App Icon From Dock to the Menu Bar

The Mail app built into macOS isn't the nicest thing in the world, the UI looks dated and Outlook is a much better alternative (for me at least). The problem that I am facing is that I need the macOS Mail app to start at login and be running in the background due to the way AltStore works. With Outlook also open, I have two Mail apps open, thus crowding my dock. Is there a way to move the macOS Mail app away from the dock to the menu bar? Or in general, is there a way to move any app from the dock to the menu bar? I use an app called Hidden Bar to collapse and hide some of the menu bar icons, with that, I will be able to completely remove the macOS mail app from my sights, even though it's still running in the background.