i think this is the correct question to ask. did you just create ~/.local/bin folder? you can look at the end of ~/.profile that this will only be added to $PATH if the folder exists.

the easiest way is to log out and log in (no restart necessary!)

otherwise you can also execute source ~/.profile and then yt-dlp should be available.

the chmod +x tip from the other comments could also be necessary!

not giving a fuck

still giving to much fucks, but at least i’m tying