  In this paper, we present an exact spherically symmetric and Yang-Mills
charged AdS black hole solution in the context of $4D$ Einstein-Gauss-Bonnet
(EGB) gravity in the presence of a cloud of strings. Thermodynamics of this
solution is studied. The critical behavior, the types of phase transitions in
canonical ensemble, the Joule-Thomson expansion, the Clapeyron equation and the
critical exponents shall be investigated.
