Remove item from an Array when clicking in a option

I have a Javascript array named activeFilters with the following values:

var activeFilters = [
    ['Tom Brady', 'Aaron Rodgers', 'Patrick Mahomes'],
    ['Post Game', 'Status']

I also have a menu list with all the values gathered in an unordered list:

<ul id="list">
    <li>Tom Brady</li>
    <li>Post Game</li>
    <li>Aaron Rodgers</li>
    <li>Patrick Mahomes</li>

My main goals is: when users click in one of the <li> options to remove this value from the array.