How to log complete Request /Response of aws api gateway rest api?

Question

As the title says: How can I log all the information of request and response of AWS Api Gateway Rest api including the body? Few things that are on my mind:

1. Cloudwatch : Reject because there is a limit of 1024 bytes + we cannot log request/response body and headers.
2. Create a lambda function Logger which would log the details in a database and integrate it in between the endpoints like this:
   Client Request ===> Logger (for logging request) ===> processing ===> Logger (for logging response) ===> send response to client. (How can I intergrate this Logger lambda function?) The Logger will act as middleware for all the api gateway calls

Answer 1

@srp321 's comment is the answer. Step function. Normal lambda function does not chain through api gateway.