Apologies if this is a dumb question. In my chemistry class we are discussing hybridization, and an example that came up for $sp_3$ hybridization was the compound $\ce{XeO3}$.
However, this seems counterintuitive. While the lewis structure of the compound is
and by inspection we see that there are 4 groups of electrons, the three double bonds and the lone pair which implies $sp_3$, from my understanding, the ability of xenon to form compounds relies solely on the fact that Xenon can use its $d$ orbitals to bond.
Why are the $s$ and $p$ orbitals implicated in the bonding and not the $d$ orbitals?