One way is to create a virtual machine (VM). You can connect to your VPN from inside the VM and do all your anon browsing from inside of it.

Also, many VPNs provide access to SOCKS5 proxy servers. If your provider does, you can also open a SSH SOCKS tunnel and route your browser traffic through said tunnel.

Here's some tutorials and more information on that-

https://linuxize.com/post/how-to-setup-ssh-socks-tunnel-for-private-browsing/

https://nordvpn.com/blog/socks5-proxy/

SOCKS5 isn't as secure as a VPN (packets aren't encrypted so ISP can perform deep packet inspection) but for simple browsing, it works nearly the same as long as you set up a tunnel.

And for your purposes, doesn't slow down your gaming.

One way is to create a virtual machine (VM). You can connect to your VPN from inside the VM and do all your anon browsing from inside of it.