Vegas includes a limited version of the Mercalli stabilizer. If you want the best stabilization software, get the full version of Mercalli. It runs rings around everything else, but it is $$$ (€€€).
Here is a link to the post I made in the Vegas forum over a decade ago where I developed my scripts to automate deshaking from within Vegas. It ended up being a bit of a three-corner billiard shot because it involved both a script within Vegas that "talked" to a script inside of VirtualDub, with parameters being passed back and forth.
https://www.vegascreativesoftware.in...render--57366/