Uniqueness sets with angular density for spaces of entire functions, II: $\rho =1$

In this note, which is the second part of a three-part series, we focus on uniqueness sets specifically in the case of spaces of entire functions of exponential type. As in the first part, we consider sets with angular density; however, now we abandon the Lindelöf condition restriction. This part is essentially self-contained and can be read independently of the first one.