  Current data on baryon acoustic oscillations and Supernovae of Type Ia cover
up to $z\sim 2.5$. These observations play a very important role in the
determination of cosmological parameters and have been widely used to constrain
the $\Lambda$CDM and models beyond it. To extend the investigation to higher
$z$, Gamma-Ray Bursts (GRBs) stand out as one of the most promising observables
since can probe the universe up to $z\sim9.4$. The use of GRB correlations is
still a challenge due to the spread in their intrinsic properties. In this
work, we propose an innovative and cosmology-independent method of calibration
of the so-called 3D Dainotti correlation. We employ state-of-the-art data on
Cosmic Chronometers (CCH) at $z\lesssim2$ and use the Gaussian Processes
reconstruction tool. To match the CCH redshift range, we select 20 long GRBs in
$0.553\leq z\leq1.96$ from the Platinum sample, which consists of well-defined
GRB plateau properties that obey the fundamental plane relation. We verify that
the choice of priors on the parameters of the Dainotti relation and the
modelling of CCH uncertainties and covariance have negligible impact on our
results. We also consider the case in which the redshift evolution of the
physical features of the plane is accounted for. We find that the use of CCH
allows us to identify a sub-sample of GRBs that adhere even more closely to the
fundamental plane relation, with an intrinsic scatter of
$\sigma_{int}=0.20^{+0.03}_{-0.05}$ when evolutionary effects are considered.
In an epoch in which we strive to reduce uncertainties on the GRB correlations
variables to tighten constraints on cosmological parameters, we have found a
novel model-independent approach to pinpoint a sub-sample that can thus
represent a valuable set of standardizable candles. This allows us to extend
the distance ladder presenting a new catalogue of calibrated luminosity
distances up to $z=5$.
