What is the correct way to run a custom runtime on AWS Lambda?

I am currently trying to execute Haskell code as an AWS Lambda function to test how well it runs. I am not totally familiar with docker and less familiar with AWS. I have been trying to follow a few guides for deploying Haskell as a custom runtime specifically, however I'm not super proficient and they seem to be outdated in places.

My question is, am I approaching this correctly for running Haskell performance experiments on AWS? I have seen a video from AWS on youtube that shows a user executing powershell (.ps1) files by using a runtime layer and changing the handler in the function settings. I want to test how Haskell is performing on AWS when it is as close to a native AWS runtime as I can make it without doing a bunch of hacking. I wont be running a lot of complex code I can happily contain all my logic within a function and upload runtimes built in docker containers if I need to. Are there approaches to this task that I am not exploring?

I have attached my current multistage docker file that I am using to build a hello world Haskell file and then zip it to "function.zip" for uploading to AWS Lambda. I had issues with zipping on windows and uploading so I decided to use the same amazonlinux 2023 runtime as I will be using when creating a function in AWS. I had attempted to setup stack and cabal in the dockerfile but ran into issues and instead opted to just build from the latest Haskell and build the code that I copied into the image.

The lambda function technically fails and appears to run twice but I can see that it is printing my "Hello, Haskell!" message when I run test. Within my docker container I zip my haskell build and bootstrap file for uploading to AWS.

RESULT OF RUNNING TEST IN AWS LAMBDA UI

Test Event Name: helloWorld

Response:
{
    "errorType": "Runtime.ExitError",
    "errorMessage": "RequestId: ... Error: Runtime exited without providing a reason"
}

Function Logs:
Running bootstrap script...
Found Haskell binary, executing...
Hello, Haskell!
INIT_REPORT Init Duration: 31.97 ms Phase: init Status: error Error Type: Runtime.ExitError

Running bootstrap script...
Found Haskell binary, executing...
Hello, Haskell!
INIT_REPORT Init Duration: 179.92 ms Phase: invoke Status: error Error Type: Runtime.ExitError

START RequestId: ... Version: $LATEST
RequestId: ... Error: Runtime exited without providing a reason Runtime.ExitError
END RequestId: ...
REPORT RequestId: ... Duration: 181.62 ms Billed Duration: 182 ms Memory Size: 128 MB Max Memory Used: 4 MB

DOCKERFILE

FROM haskell:latest as build

RUN mkdir -p /aws_lambda_runtime_wjs
WORKDIR /aws_lambda_runtime_wjs

COPY . .

RUN stack setup && \
    stack build --install-ghc --copy-bins

RUN BINARY_PATH=$(stack path --local-install-root)/bin/aws-lambda-runtime && \
    echo "Binary located at: $BINARY_PATH" && \
    cp $BINARY_PATH /aws_lambda_runtime_wjs/aws-lambda-runtime-wjs

FROM amazonlinux:2023

RUN yum -y update && \
    yum -y install zlib gmp ncurses-libs xz zip

RUN mkdir -p /var/task

COPY --from=build /aws_lambda_runtime_wjs/aws-lambda-runtime-wjs /var/task/aws-lambda-runtime-wjs

COPY --from=build /aws_lambda_runtime_wjs/bootstrap /var/task/bootstrap

RUN chmod +x /var/task/bootstrap

RUN chmod +x /var/task/aws-lambda-runtime-wjs

WORKDIR /var/task

RUN zip -r9 function.zip bootstrap aws-lambda-runtime-wjs

ENTRYPOINT ["/var/task/bootstrap"]

BOOTSTRAP

#!/bin/sh

# Debugging information
echo "Running bootstrap script..."

# Ensure the Haskell binary exists before running
if [ -f /var/task/aws-lambda-runtime-wjs ]; then
    echo "Found Haskell binary, executing..."
    # Execute the Haskell binary
    exec /var/task/aws-lambda-runtime-wjs
else
    echo "Haskell binary not found!"
    exit 1
fi

HASKELL CODE COPIED TO DOCKER CONTAINER

module Main where

-- A simple main function that prints a string
main :: IO ()
main = putStrLn "Hello, Haskell!"