Remove root parameter override in watch mode

[tymokvo]

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Summary

• Add optional watch flag for injecting a URL root into static site content for non-localhost browsers
• Add case in if watch to replace root override with the passed URL root
• Update injected websocket script to change request protocol based on window.location

Description

This adds the ability to serve the generated documentation site to browsers not running on localhost. For example, when working in a remote development environment like GitHub Codespaces or an ngrok endpoint.