Bucket transfer inter-region

I need to transfer files between regions AWS. Bucket South America to Bucket in North Virginia with DataSync. My files in South America region (source), are in S3 Deep Archive, and I'm going to keep them that way, I'm just going to change regions to reduce storage costs. In the AWS documentation, I understood the costs of DataSync, but about the Deep Archive I was in doubt... I have many files with less than 180 days (300TB), I will pay pro rata for taking them out of the bucket before this deadline or for I keep in the same storage class just transfer the files to another location, no? Because I want to make this change but if you have a pro-rata payment, it's a very high cost.