Q.Euphorbia Canariensis. Could It Be The Milk?
When I lop off the rot & milk oozes out and down all over the plant… could that be causing this and if yes, does that imply it’s not rot and just a toxic skin response issue and maybe I can save it??

Certified GKH Gardening Expert
I think the milk is spreading it, but it is definitely rot. Unfortunately, fungicides aren't, usually, enough to cure this. They do help for some time.
https://www.gardeningknowhow.com/garden-how-to/info/using-fungicides-in-garden.htm
This article is for a different type of Euphorbia, but will have the same treatments.
https://www.gardeningknowhow.com/ornamental/cacti-succulents/euphorbia/euphorbia-stem-rot-issues.htm
Unfortunately, it is important to keep from watering overhead. This is the predominant way that it spreads.