Installed homebrew and mysqlclient. Exported them to path. now, pip is missing?

Question

so I'm trying to fix some dependency issue involving mysqlclient library. Pretty much, a solution I was undergoing involved installing homebrew with this line

/bin/bash -c "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/HEAD/install.sh)"

Then, after that was done, I ran

export PATH="/opt/homebrew/bin"  

Later, I ran

brew install mysql-client      

with no errors

Next, I ran this line to export mysql-client to my path

export PATH="/usr/local/opt/mysql-client/bin:$PATH" 

Then I tried running pip list and received this prompt

zsh: command not found: pip

I'm a little concerned. Did I just overwrite pip on my system of something? I have many dependencies installed there.

Running echo $PATH reads

/usr/local/opt/mysql-client/bin:/opt/homebrew/bin

Could someone explain where I went wrong here?