 This study investigates the electrical conductance and thermal power of a quantum dot-tunnel couple to external leads using an extension of the Anderson impurity model that accounts for assisted hopping processes and occupancy dependence of tunneling amplitudes. The Schriefer-Wolf transformation and scaling arguments are used to provide analytical understanding, while numerical calculations using the numerical renormalization group method are used for corroboration. The assisted hopping modifies the coupling to the two particle state, which shifts the condo exchange coupling constant and exponentially reduces or enhances the condo temperature, breaks particle hole symmetry, and strongly affects thermal power. Gate voltage and temperature dependence of transport properties are discussed in various regimes, with a peculiar discontinuous behavior found near a specific value of the assisted hopping parameter that results in a very high C-beck coefficient. The study shows that the thermal power is a highly sensitive probe of assisted hopping and condo correlations.