[Feat]: Custom logging format in code-server

## What is your suggestion?
My company needs to log messages in a JSON-Format and at minimum the current timestamp and the log message. We use code-server together with JupyterLab, so the logs look like this (in Python, changing the log-format is easy)


## Why do you want this feature?
Getting common logs is required the in the company due to compliance reasons. I would ideally set it like this:

code-server --log-format='%(filename)s: ', '%(levelname)s: ', '%(funcName)s(): ','%(lineno)d:\t', '%(message)s')

## Are there any workarounds to get this functionality today?
Are there? As far as I know I can only get the log level but I have seen code-server uses @coder/logger which has to capability to extend the formatter (https://www.npmjs.com/package/@coder/logger).

Have you ever received a request like this or is there even a workaround to archieve this?