  We present a class of two-dimensional randomized plaquette models, where the
multi-spin interaction term, referred to as the plaquette term, is replaced by
a single-site spin term with a probability of $1-p$. By varying $p$, we observe
a ground state phase transition, or equivalently, a phase transition of the
symmetry operator. We find that as we vary $p$, the symmetry operator changes
from being extensive to being localized in space. These models can be
equivalently understood as 1+1D randomized cellular automaton dynamics,
allowing the 2D transition to be interpreted as a 1+1D dynamical absorbing
phase transition. In this paper, our primary focus is on the plaquette term
with three or five-body interactions, where we explore the universality classes
of the transitions. Specifically, for the model with five-body interaction, we
demonstrate that it belongs to the same universality class as the
measurement-induced entanglement phase transition observed in 1+1D Clifford
dynamics, as well as the boundary entanglement transition of the 2D cluster
state induced by random bulk Pauli measurements. This work establishes a
connection between transitions in classical spin models, cellular automata, and
hybrid random circuits.
