Most ATM networks have a set time for when they cutoff their files for the day. The availability to the customer's account should be based on when you receive files from your ATM processor, not when items are removed from the machine.
When I was a branch manager we always removed deposits first thing Monday morning because there was a large volume from the weekend and then made another trip at balancing time. This spread our work throughout the day.
Before addressing what the branches are doing and when, make sure you understand how the ATM deposits are posting to customer's accounts. That will tell you if there is a Reg CC issue or not.
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