Skipping a specific database in cPanel backups

One of our accounts has a database that has grown to be so large (~50GB) that it is causing problems for the cPanel backup process. The problem is so severe that the cPanel backup process no longer completes successfully.

We have other backup processes in place for this database, so having cPanel back it up is unnecessary. One solution to this problem could be to dissociate the database from the cPanel account:

If we remove the database from the cPanel account, but leave the database intact (e.g. still active in MySQL), then:
1. The web app would still be able to access the database, since the MySQL grants are still intact and valid.
2. The cPanel backup process will effectively skip this large database, allowing the backup process to actually complete successfully.

A consequence of this approach would be that we can no longer use cPanel to manage this database. This isn't a concern, as I'm comfortable working directly with MySQL through the shell.

My questions are:
1. Will this approach work like I'm expecting?
2. Is there a better solution to our problem? (Needing to skip a specific database in cPanel backups)
3. How do I remove the connection between cPanel and this specific database?

Thank you!