A company runs a generative AI (GenAI)-powered summarization application in an application AWS account that...

The first option labeled B is the correct solution because it fully satisfies both private connectivity and fine-grained cross-account data governance requirements using AWS-native services.

Creating interface VPC endpoints for Amazon Bedrock runtimes ensures that all inference calls remain on the AWS private network and never traverse the public internet. Running AWS Lambda functions in private subnets enforces network isolation, and using IAM conditions that restrict access to specific VPC endpoints and roles prevents unauthorized inference calls.

For the governed data lake, AWS Lake Formation LF-tag–based access control is the recommended AWS mechanism for enforcing cross-account, column-level permissions. LF-tags allow the company to define data access policies once and apply them consistently across accounts, databases, tables, and even individual columns. This is required for sensitive customer records and is not achievable with S3 bucket policies or IAM alone.

The second option labeled B uses a NAT gateway, which violates the private connectivity requirement. Option C uses public Bedrock endpoints and only database-level grants, which are insufficient. Option D relies on IAM path-based policies, which cannot enforce column-level access and introduces public fallback paths.

Therefore, the first option labeled B is the only solution that meets all networking, security, and data governance requirements.