  In the present study, we explore the dynamical characteristics of the
quintessence cosmological model in Weyl-type $f(Q,T)$ gravity. Here, $T$
represents the trace of the matter energy-momentum tensor, and $Q$ symbolizes
the nonmetricity tensor. We propose a solution to the field equation using the
specific parametrization in the form$H(z) = H_{0} (1+z)^{1+\alpha+\beta}
e^{\left(\frac{- \beta z}{1+z}\right)}$, which depicts the necessary transition
of cosmos from decelerating era to the current accelerating scenario. The
values of model parameters are estimated as $H_0 = 71.17\pm 0.25 $, $\alpha =
-0.663\pm0.030$, and $\beta = 1.488\pm0.087$ using the MCMC analysis and
limiting the model with a joint dataset of Pantheon, BAO, and OHD. We discuss
the cosmic behavior of many features of the derived model like EoS parameters,
energy density, and cosmic pressure. Further, we have also explored the
cosmological behavior of the quintessence model in Weyl $f(Q,T)$gravity. We
have described the cosmic behavior of the model by $\omega_D-\omega_D'$
analysis. The diagnosis of the model is also performed using state finders and
jerk parameters. In the end, we have discussed the energy conditions for the
proposed model. Our analysis shows that the suggested model is well consistent
with the recent findings.
