JSFiddle - React, Tailwind, and code Playground

HTML

<select name="itens" id="itens">
    <option value="1">Gabinete 1</option>
    <option value="2">Gabinete 2</option>
    <option value="3">Gabinete 3</option>
    <option value="4">Gabinete 4</option>
    <option value="5">Gabinete 5</option>
</select>
<hr>
    <ul id="escolher">
        <li data-iten="1">Gabinete 1</li>
        <li data-iten="2">Gabinete 2</li>
        <li data-iten="3">Gabinete 3</li>
        <li data-iten="4">Gabinete 4</li>
        <li data-iten="5">Gabinete 5</li>
    </ul>

JavaScript

$('#escolher li').click(function(){
    valor = $(this).attr('data-iten');
    $('#itens').val(valor);
});