On Soergel's results concerning projectives modules in category $\mathcal{O}$

Question

I am looking for a translated proof of two results of Soergel usually referred to as endomorphismensatz and struktursatz.

Both of those results were shown in the paper

Soergel, W. (1990). Kategorie 𝒪, perverse Garben und Moduln über den Koinvarianten zur Weylgruppe. Journal of the American Mathematical Society, 3(2), 421-445

but I can't find a proof written in English. A previous post (see Translation of Soergel's 1990 paper on category O) asked for a translation of the whole paper, but it is still unanswered. Moreover, I could not find a proof in the book Introduction to Soergel bimodules despite a comment made in the aforementioned post.

Any help is appreciated.