A company is changing the way that it handles patching of Amazon EC2 instances in its application account. The company currently patches instances over the internet by using a NAT gateway in a VPC in the application account. The company has EC2 instances set up as a patch source repository in a dedicated private VPC in a core account. The company wants to use AWS Systems Manager Patch Manager and the patch source repository in the core account to patch the EC2 instances in the application account. The company must prevent all EC2 instances in the application account from accessing the internet. The EC2 instances in the application account need to access Amazon S3, where the application data is stored. These EC2 instances need connectivity to Systems Manager and to the patch source repository in the private VPC in the core account. Which solution will meet these requirements?