Reduce size of dependency

[seanamos]

Given the intended target for this package is lambda functions, minimizing the impact on the size of the final binary and reducing dependencies should be a high priority.

Adding datadog-lambda-go as a dependency can significantly increase the size of the final binary and brings in a large amount of transitive dependencies.

Before adding dependency:

➜ du -h bin/linux/arm64/*
8.7M    bin/linux/arm64/xxx

After adding dependency:

➜ du -h bin/linux/arm64/*
 32M    bin/linux/arm64/xxx

Specifications

• Datadog Go Lambda package version: 1.47.0
• Go version: 1.23.5

[krzysiek1507]

Hey! Updating this package to use github.com/aws/aws-xray-sdk-go v2 should reduce the size I guess? v2 got rid of AWS SDK Go v1.

[krzysiek1507]

cc @nhulston

[krzysiek1507]

I opened a PR with the update #190