We apologize, but we have not conducted operational verification or provide guarantees for this integration.
However, the following documentation states that free apps can be distributed when assigned to users and devices as managed distribution.
Teachme Biz app appears to qualify as a free app.
Related: Distribute content with Apps and Books in Apple School Manager and Apple Business Manager
Please verify whether the Teachme Biz app can actually be distributed via Apple Business Manager in your environment.