I never use non-private windows, so I use Invidious or mpv for this. I put

  control + alt + m
    notify-send "mpv loading $(xclip -o)"; mpv --player-operation-mode=pseudo-gui "$(xclip -o)" || notify-send 'mpv error'

in my ~/.config/sxhd/sxhkdrc to conveniently play any youtube-dl supported url I’ve copied or highlighted.

I set my browser to block all cookies. Has the same effect as private window mode. That way I can still browse youtube without having to open a new window. Yea, it sucks that I can no longer sign in, but at least the recommendations are better.