Temporarily Remove AI Gateway Logging

What does this MR do and why?

A recent change to the AI Gateway Dockerfile breaks our current implementation for gathering logs from the ai-gateway containers: gitlab-org/modelops/applied-ml/code-suggestions/ai-assist!1521 (merged)

This is currently causing tests to fail in the ai-gateway job since the ai-gateway container now crashes due to being unable to generate the log file. Please see more details mentioned here.

This MR temporarily removes the logging to unblock the tests until a new solution is developed in https://gitlab.com/gitlab-org/gitlab-qa/-/issues/731

How to set up and validate locally

Numbered steps to set up and validate the change are strongly suggested.

MR acceptance checklist

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