  We present a comprehensive numerical study of the phase behavior and dynamics
of a three-dimensional active dumbbell system with attractive interactions. We
demonstrate that attraction is essential for the system to exhibit nontrivial
phases. We construct a detailed phase diagram by exploring the effects of the
system's activity, density, and attraction strength. We identify several
distinct phases, including a disordered, a gel, and a completely
phase-separated phase. Additionally, we discover a novel dynamical phase, that
we name percolating network, which is characterized by the presence of a
spanning network of connected dumbbells. In the phase-separated phase we
characterize numerically and describe analytically the helical motion of the
dense cluster.
