Feature Request: WP CLI directly to production

### What

If a site is linked to a production site, it would be great if Studio CLI allowed you to run commands against your staging and production environments on dotcom/pressable, similar to the WordPress VIP CLI.

### Why

Studio could become the hub to interacting with your production site as well, opening up access to WP CLI for developers and agents.

### How

Handle all the hard stuff (SSH, Keys, etc) under the hood. Maybe some sort of `studio @prod wp plugin list` or something similar.

Start with Studio CLI and its existing linked-site flow, then examine how commands are dispatched before considering remote SSH and key handling. Define the behavior for running WP CLI against linked staging and production environments on dotcom or Pressable, including credentials and failures; done means the proposed command path works end to end.

Written by the indexing model from the issue text.