JSFiddle - React, Tailwind, and code Playground

HTML

<script src="https://code.jquery.com/jquery-1.8.2.min.js"></script>
<input class="bigSizeInput" type="radio" id="audioVideo" name="optionMedia" value="1"/>
<input class="bigSizeInput" type="radio" id="showReel" name="optionMedia" value="2" />

JavaScript

$("input[name=optionMedia]").click(function(e) {
    e.preventDefault();
    if ($(e.currentTarget).prop('checked')) {
    	  console.log("button was checked");
        $(e.currentTarget).prop('checked', false);
    } else {
        console.log("button was not checked");
        $(e.currentTarget).prop('checked', false);
    }
});