Shared kernel for Jupyter Notebook and console

[AJajodia]

It would be nice to have the ability to interact with Jupyter Notebook variables from the console, similar to how users can tinker with variables in .Rmd files from the R console. This functionality exists in a similar capacity in Qtconsole and by manually connecting to kernel instances, but it would be a great built-in feature.

Discussion can be found here #3766

[ntluong95]

This feature is very much needed. If I highlight some part of the code, right click and choose Run Python -> Run Python in console, it will not work as they are not sharing the same kernel

[juliasilge]

As an observation, this is kind of like the opposite of the request for Quarto files to have inline, notebook-like execution.

Related to #1533

[danieltomasz]

For me its not the something a bit orthogonal rather;
#1533 is discussing where to plot/display the output of the cell execution of notebook connected to kernel;
This issue is discussing rather having an additional way to input/interact with the kernel;

This should be option to configure, perhaps not by default (or just user can open an console connected to the current running kernel in the notebook) ; sometimes I very need the input inline in the notebook, sometimes would be create to print/test something without adding and removing code in the notebook