The first augmented pattern also appears in other verbal nouns, where connecting hamza and inserted nūn occur with a four-radical base:
Word / formMeaning / explanation
اِحْرِنْجَامgathering together.
اِغْرِنْكَاسhair becoming black.
اِبْرِنْشَاقbecoming cheerful.
The initial hamza and medial nūn are formative features, not additional root radicals. Each verb has its own lexical meaning while sharing the larger pattern.