docs: live preview (without VS Code)

[AlexanderLanin]

Provide the ability of a live preview outside of VS Code.
People are using different IDEs, and we cannot do a full integration into all of them.
But we can provide a generic preview ability, e.g. sphinx-autobuild.

Task:

• document why we use sphinx-autobuild (or some alternative)
• implement solution

[hoe-jo]

We also could provide additional configs, we are working on a configuration for Clion

[AlexanderLanin]

We also could provide additional configs, we are working on a configuration for Clion

Let's create a separate issue for CLion if we want to support that.

[nicu1989]

I have checked some of the tools used for live preview and did a comparison:

Feature	Sphinx-autobuild	Docutils	Grip
Live Preview	Provides live-reloading of HTML output when .rst files are modified. It monitors changes and automatically rebuilds the documentation.	Does not offer live preview capabilities. Users need to manually run commands like rst2html to convert .rst files to HTML and then open the output in a browser.	Primarily designed for Markdown files and does not natively support .rst. While it offers live preview for Markdown, it lacks built-in support for .rst live preview.
Ease of Use	Automatic rebuilding on save.	Requires manual steps for each update: converting .rst files to the desired format and viewing them separately.	Easy to use for Markdown files with live preview, but not suitable for .rst without additional configuration or tools.
Additional Features	Integrates with Sphinx, allowing the use of Sphinx extensions and themes during live preview.	Focuses on converting .rst to various formats.	Offers live preview and rendering for Markdown, but lacks support for .rst features and Sphinx integrations.

The best way to go is to use sphinx-autobuild from devcontainer/venv . I will create a PR that documents how to use it and implement the other required changes.