This was posted on another forum: REME Technical Training School BAOR Armourers Wing Precis Volume III 1951 : R.E.M.E. Technical Training School - B.A.O.R : Free Download, Borrow, and Streaming : Internet Archive
Some interesting variations on certain practices.
Apparently the No.3(T) rifles were not withdrawn before the end of WWII since they feature here in what is obviously a post-war manual.
Can be downloaded in various formats from the links on the lower right of the page.