Anytune is damaged and can't be opened

The "Anytune damaged and can't be opened" message is provided by the operating system (specifically by Gatekeeper) when the file is suspected of being tampered with.

1. Ensure you are running the latest version/update of macOS.
   
   
2. Re-download Anytune through the Mac App Store. See Update and Re-install Anytune Mac.
   1. Go to your Applications folder and move Anytune.app to Trash
   2. Open the App Store app and Download Anytune again

Normally, Apple will not allow you to purchase an app or in-app purchase if you already own it. You can download apps you purchased as many times as you want as long as you use the same AppleID. In this case, you should see download instead of purchase in the store.

Deleting Anytune (Applications/Anytune.app) does not delete Anytune's data including imported songs and config data (settings, marks, notes and lyrics).

In rare occurrences you may need to reboot your Mac, or even Sign Out, Reboot and Sign In  to the  App Store app before the App Store app realizes Anytune can be downloaded again.

To Logout/Login

1. Delete Anytune.app
2. Open  App Store
3. Click > App Store menu > Store > Sign Out 
4. Restart you Mac
5. Open App Store
6. Sign in
7. Re-install Anytune Mac

You could also try to disable GateKeeper:  

Disable Gatekeeper from the Command Line

1. Launch Terminal (/Applications/Utilities/) and issue the following command to turn off Gatekeeper:
   sudo spctl --master-disable

2. Hit return and enter the admin password as required by sudo, and Gatekeeper will instantly be disabled.
3. Confirm the setting:
   spctl --status
   This will report back ‘assessments disabled’ to indicate that Gatekeeper has been turned off. You will also find that the Gatekeeper Security preference panel will be set to ‘Everywhere’.

How to Enable Gatekeeper from the Command Line

1. Launch Terminal (/Applications/Utilities/) and issue the following command to turn on Gatekeeper:
   sudo spctl --master-enable

Send us the Extended Attributes for Anytune.app

Open a terminal window and type the command and send us the result.

xattr -lrv /Applications/Anytune.app

This will show us if an extended attribute has been set, and possible a clue. 

The xattr command lets you modify or even remove the extended attributes of your apps and files. In other words, this command modifies the complementary information attached to your app or file, also known as metadata.

A number of users solved this issue by running the:

xattr -r -d com.apple.quarantine /Applications/Anytune.app 

command in a Terminal window. This command lets you remove the quarantine flag from your app. Double-check to make sure you add the correct path to your app after the com.apple.quarantine string. 

Reference

How to Fix App “is damaged and can’t be opened. You should move it to the Trash” Error on Mac