The documentation regarding this topic is scarce and all over the place, therefore I would like to share my methods for running an edx-platform fork using Tutor and also create a FAQ to supplement the Configuration and customisation — Tutor documentation entry in the Tutor documentation.
Please feel free to add to this thread.
Disclaimer: Please beware that the listed are my methods for working on an edx-platform fork and may not be the best method, I also cannot guarantee that my solutions will work out-of-box for you.