example: Add FastMCP Examples

[eldritchideen]

Description of changes:

This PR adds two new examples demonstrating how to run a FastMCP server on AWS Lambda using Lambda Web Adapter:

• examples/fastmcp — Docker image deployment
• examples/fastmcp-zip — Zip package deployment using managed Python runtime

Both examples deploy a minimal FastMCP server that exposes a greet tool and a /healthz health check endpoint.

Docker variant (examples/fastmcp):

• Multi-stage Dockerfile based on python:3.14-slim
• Copies Lambda Web Adapter into /opt/extensions/
• Targets x86_64, 512 MB memory

Zip variant (examples/fastmcp-zip):

• Uses the LambdaAdapterLayerArm64 Lambda layer
• Configures AWS_LAMBDA_EXEC_WRAPPER=/opt/bootstrap wrapper script
• Uses run.sh as the function handler to start Uvicorn
• Targets arm64, 512 MB memory

By submitting this pull request, I confirm that you can use, modify, copy, and redistribute this contribution, under the terms of your choice.

[bnusunny]

Thanks for the example. Can you add "example:" to your commits? We start to follow Conventional Commits in this repo.

And don't worry about the verify examples failures. I need to find time to fix them.

[eldritchideen]

I have gone back and added example to the commits.

[bnusunny]

Thanks for the contribution!