is it possible to run wordpress on lambda using aws lambda web adapter?

My requirement is to deploy serverless wordpress and I have came through concept of lambda web adapter which is for response streaming between lambda and web application. For reference: https://aws.amazon.com/blogs/compute/using-response-streaming-with-aws-lambda-web-adapter-to-optimize-performance/

With that reference, I have created a Dockerfile for install wordpress with lambda web adapter and the dockerfile is below

FROM public.ecr.aws/awsguru/php:82.2023.3.11.1 AS builder
COPY --from=composer /usr/bin/composer /usr/local/bin/composer
COPY app /var/task/app
WORKDIR /var/task/app
RUN composer install --prefer-dist --optimize-autoloader --no-dev --no-interaction
FROM public.ecr.aws/awsguru/php:82.2023.3.11.1
COPY --from=public.ecr.aws/awsguru/aws-lambda-adapter:0.7.1 /lambda-adapter /opt/extensions/lambda-adapter
COPY --from=builder /var/task /var/task
ADD nginx/conf/nginx.conf      /opt/nginx/conf/nginx.conf
ADD php/php.ini                /opt/php/php.ini
ADD php/etc/php-fpm.conf       /opt/php/etc/php-fpm.conf
ADD php/php.d/extensions.ini   /opt/php/php.d/extensions.ini
COPY bootstrap /opt/bootstrap
RUN chmod +x /opt/bootstrap
EXPOSE 8080
ENTRYPOINT /opt/bootstrap

I have prepared the docker image , push it to ECR then used SAM Template to deploy image on lambda with api gateway. After deployment, while testing the lambda function it shows execution succeed with 302 status code as follows

{
  "statusCode": 302,
  "headers": {
    "server": "nginx/1.23.3",
    "date": "Fri, 15 Sep 2023 10:22:57 GMT",
    "content-type": "text/html; charset=UTF-8",
    "transfer-encoding": "chunked",
    "connection": "keep-alive",
    "x-powered-by": "PHP/8.2.2",
    "expires": "Wed, 11 Jan 1984 05:00:00 GMT",
    "cache-control": "no-cache, must-revalidate, max-age=0",
    "x-redirect-by": "WordPress",
    "location": "http://127.0.0.1:8080/wp-admin/install.php"
  },
  "multiValueHeaders": {
    "server": [
      "nginx/1.23.3"
    ],
    "date": [
      "Fri, 15 Sep 2023 10:22:57 GMT"
    ],
    "content-type": [
      "text/html; charset=UTF-8"
    ],
    "transfer-encoding": [
      "chunked"
    ],
    "connection": [
      "keep-alive"
    ],
    "x-powered-by": [
      "PHP/8.2.2"
    ],
    "expires": [
      "Wed, 11 Jan 1984 05:00:00 GMT"
    ],
    "cache-control": [
      "no-cache, must-revalidate, max-age=0"
    ],
    "x-redirect-by": [
      "WordPress"
    ],
    "location": [
      "http://127.0.0.1:8080/wp-admin/install.php"
    ]
  },
  "body": "",
  "isBase64Encoded": false
}

and while making request by api url in browser it was redirected to /wp-admin/install.php path but doesn't appear any page.

So give me a solution how to resolve it and tell me is it the right way to deploy serverless wordpress or there is any other method to achieve it.