Deploy a dedicated EC2 NAT instance in the public subnet and update the private subnet's route table for S3 traffic.

Place a dedicated EC2 NAT instance in the private subnet and adjust the public subnet's route table for S3 traffic.

Establish a VPC gateway endpoint and set the private subnet's route table to utilize it for S3 traffic.

Add a second NAT gateway and modify the private subnet's route table to direct S3 traffic through it.