  A large fraction of Gamma-Ray Bursts (GRBs) lightcurves (LCs) shows X-ray
plateaus. We analyze all GRBs with known redshifts presenting plateaus observed
by \emph{The Neil Gehrels Swift Observatory} from its launch until August 2019.
The fundamental plane relation between the rest-frame time and X-ray luminosity
at the end of the plateau emission and the peak prompt luminosity holds for all
the GRB classes when selection biases and cosmological evolutions are applied.
We have discovered two important findings: 1) a new class of Long GRBs with
good data coverage: the Platinum Sample; 2) the Platinum, the SNe-LGRB and the
KN-SGRB samples, the second sample composed of GRBs associated
spectroscopically with the SNe Ib,c, the third sample composed by 8 GRBs
associated with Kilonovae or where there could have been such an association,
yield the smallest intrinsic scatter, $\sigma_{platinum,GRB-SNe}=0.22 \pm 0.10$
and $\sigma_{KN-SGRB}=0.24 \pm 0.12$. The highest correlation coefficients
yield for the SN-LGRB-ABC sample, which are GRBs spectroscopically associated
with SNe Ib/c or with a clear optical bump in the LC resembling the SNe Ib/c,
($R^{2}_{SN-LGRB-ABC}=0.95$), for the SN-LGRBs ($R^{2}_{SN-LGRB}=0.91$) and the
KN-SGRBs ($R^{2}_{KN-SGRB}=0.90$) when the redshift evolution is considered.
These category planes are reliable candidates to be used as cosmological tools.
Furthermore, the distance from the Gold fundamental plane is a crucial
discriminant among classes. In fact, we find that the distributions of the
distances of the SNe-LGRB, SNe-LGRB-ABC, KN-SGRBs and SGRBs samples from the
Gold fundamental plane are statistically different from the distribution of the
Gold GRBs' distances from the Gold fundamental plane with and without
considering evolution cases.
