This is expected behavior in Mendix. Database schema upgrades are one-way, so once a database has been upgraded by a newer Mendix runtime (10.24.x in your case), it cannot be used by an older runtime (10.6.7).
The error:
Unsupported pre-analysis migration version: 4.4.0
indicates that the database metadata has already been migrated to a newer format, which 10.6.7 cannot understand.
If you need to run the older version again, you'll need to deploy it against a fresh database or restore a database backup taken before the upgrade. Alternatively, create a new deployment using the older branch and a clean database.
Mendix upgrades are designed to be forward-only and do not support database downgrades.
Kindly mark this as the accepted answer if it helps.