Cannot use ctrl + p / n to view previous / next history when using tmux

I am using kitty + zsh + tmux on MacOS. Without tmux, I can just use Ctrl + p or Ctrl + n to scroll through the zsh history. However, when I have tmux running and without any configuration done, pressing Ctrl + p no longer shows me the previous history. Instead, it displays ^P instead. I have tried it with other terminal emulators, namely apple terminal, ghostty and alacritty, and I cannot get Ctrl + p to work with tmux running. Why is this happening?