Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type

We show that every finite GK-dimensional pre-Nichols algebra for braidings of diagonal type with connected diagram modular, supermodular or unidentified is a quotient the distinguished introduced by first-named author, up to two exceptions. For these exceptional cases, we provide substitutes one in sense it projects onto all algebras. build both as non-trivial central extensions GK-dimension corresponding algebra. describe algebras generators and relations give basis. This work essentially completes study eminent finite-dimensional Nichols