Thanks for such a detailed report. Happy to hear that your skin is clearing up so quickly. Perhaps you may have been secretly allergic/sensitive to eggs.
Personally, I’ve added eggs back into diet a long time ago. Sometimes the mind can trick you into believing things which may not necessarily be true.
How long ago have you added the bullet-proof coffee? I think this may actually be a huge piece of why your skin may clearing up. It contains the specific medium chain triglycerides that have been shown to have anti-fungal potential against the malassezia documented to be responsible for SD. So potentially the internal consumption is providing topical benefits. These same fatty acids are a large part of my own solution, which I have wrote about in a previous post:
Hope that helps and look foward to any updates.
All the best.