Which of the following facts about the complex $[\text{Cr}({\text{NH}}_3{)}_6]{\text{Cl}}_3$ is wrong?

In $[\text{Cr}({\text{NH}}_3{)}_6{]}^{3+}$, Chromium is in $+3$ oxidation state ($3d^3$).${\text{Cr}}^{3+}=[Ar]3d^3$.The three electrons occupy the $t_{2g}$ orbitals. Two empty $3d$ orbitals are available for hybridization with $4s$ and $4p$.Hybridization is $d^{2}s{p}^3$, which makes it an inner orbital complex, not an outer orbital one.It is paramagnetic ($3$ unpaired electrons) and releases chloride ions in solution to react with ${\text{AgNO}}_3$.