How to process multiple assignment on the same day using approval process

Summary:

How do we process multiple assignments on the same day using the approval process?

If a department has three divisions and there are three openings across those divisions, three hire transactions are created for the same employee. One assignment is designated as the primary assignment, and the other two are secondary assignments. All three transactions have the same effective date r and must go through the approval process.

Does the approval framework prevent a new transaction from being initiated for the same employee until the first transaction is fully approved?

If so, what is the best approach to handle this business scenario while ensuring proper approvals, sequencing, and data integrity?