Running AWS Lambda / Spring Cloud Function in JDK 17 Docker image

Question

I'm working on upgrading a Spring Cloud Functions lambda to run on JDK 17. Amazon does not provide base images for JDK 17, so instead of deploying a ZIP file I created a lambda that runs a Docker image. For running Java images my Dockerfile usually looks like this:

FROM amazoncorretto:17
VOLUME /tmp
COPY ./my-lambda-project/build/libs/my-lambda-project-1.0.jar app.jar
ENTRYPOINT ["java","-Djava.security.egd=file:/dev/./urandom","-jar","/app.jar"]

which runs the jar created first using bootRun Gradle task. My Application.java class has the main method which looks like this:

public static void main(String[] args) {
    FunctionalSpringApplication.run(Application.class, args);
}

The main method uses FunctionalSpringApplication instead of SpringApplication.run (for faster start) and in the lambda config I specify the function handler to be org.springframework.cloud.function.adapter.aws.FunctionInvoker::handleRequest.

With the Dockerfile approach, I can use some combination of ENTRYPOINT or CMD. Is there a way to make this docker image when pushed to ECR run the lambda using JDK 17?