If you have received a Redemption Code generated from an Apple Business Manager Account you can then open your App Store Account if this is the first time you install the app with your Apple Id Account:
Type in the Code that has been shared to you:
You should then see the Code getting redeemed:
And your App getting downloaded:
You can reuse the same Apple Id to install the App on other devices signed in with the same Apple ID. Go to your App Store Account and click on Purchased:
You should then be able to download the App on the other devices: