Add the ability to manage servers via the API #7831

Please confirm the following.

• I checked the existing issues for duplicate feature requests

What parts of Modrinth is your feature request related too?

Modrinth API for developers

Is your suggested feature related to a problem? Please describe.

There's no way for a third-party app to manage Modrinth Hosting servers without reverse engineering the Modrinth App's flow.

Describe the solution you'd like

Allow developers to let users manage their Modrinth Hosting servers (start/stop, view logs, manage content, access, and backups, and upgrade server specs) using the Modrinth API.

Describe alternatives you've considered

Reverse engineering the login flow used by the Modrinth App. This actually worked for me, but obviously this is not recommended. It took me just under a week to reverse engineer the login - which, compared to the hour it takes to do the same with the official API, is not a statistic I'm proud of.

Additional context

I don't have an expectation for this to be implemented anytime soon; this suggestion is simply an idea to consider when the Modrinth team has less tomfoolery to worry about :p