Also to add, for a while in the past before I found that the IDE I use could execute code blocks I made a little program that would take each code block in a markdown document and run them one after the other, and it would look to see if a “text” fence followed right after the code fence. In that case it would write the output of that command into the text fence. If there was no text fence, it would run the command without inserting any of its input into the document.
It was like a super rudimentary Jupyter Notebook system of my own making.
Eventually I switched away from my own run-and-insert system.
This Jupyter notebook-like system you're describing here is basically Runme. It do not yet have an IntelliJ/Jetbrains plugin; however, the Kernel Architecture outside of the headless CLI allows for integration into any IDE or UI.
It's all open source. Please get involved! We'd be happy to have you.
It was like a super rudimentary Jupyter Notebook system of my own making.
Eventually I switched away from my own run-and-insert system.