JSFiddle - React, Tailwind, and code Playground

HTML

<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.1.1/jquery.min.js"></script>
<input type="radio" class="my-radio">

JavaScript

var radioState;
        
        $('.my-radio').on('click', function(e) {
            if (radioState === this) {
                this.checked = false;
                radioState = null;
            } else {
                radioState = this;
            }
        });