Does using a VPN inside a VM prevent the host traffic going through the VPN?

I've recently started working from home (software dev) and need to connect to my companies VPN so that I can Remtote Desktop into my workstation at work. I stream music and download stuff in the day, so I don't want all of my traffic from home going through my companies VPN.

I've set up a Virtual Box VM on my home computer, inside which I connect to the VPN and then RDP into my work machine. Now if i stream music outside of my VM on my home computer am I correct in thinking that will not go through my companies VPN?