[Integration proposal] Deploy file-defined FastAgent agents to AgentCore Runtime

FastAgent is an MIT-licensed TypeScript serving layer for file-defined agents.

It now supports AWS Bedrock AgentCore Runtime through:

- the HTTP /invocations and /ping contract
- linux/arm64 ECR deployment
- a generated CloudFormation Runtime topology
- Lambda Function URL forwarding for verified webhook channels
- EventBridge-backed cron schedules and self-scheduled wake-ups
- S3-backed ingress state across Runtime version updates
- direct InvokeAgentRuntime SSE invocation
- Runtime and forwarder CloudWatch log discovery

Source: https://github.com/fastagent-sh/fastagent
Guide: https://fastagent.sh/blog/deploy-ai-agent-aws-bedrock-agentcore/

We would like to contribute a minimal, reproducible TypeScript example to the official AgentCore samples repository.

Would this integration be useful, and which directory/format should it follow?