Which type of orbital is designated by $n = 2, l = 3,$ ${\mathrm{m}}_{\mathrm{l}}-2$?

None of these type of orbital is designated by $n = 2, l = 3,$ ${\mathrm{m}}_{\mathrm{l}}-2$.

A mathematical function called an orbital is used to represent the wave-like behaviour of an electron, electron pair, or (less frequently) nucleon in chemistry and quantum mechanics. Other names for orbitals are atomic orbitals and electron orbitals.