JSFiddle - React, Tailwind, and code Playground

HTML

<select id="select" multiple="multiple" style="width:100px">
  <option value="1">Address1</option>
  <option value="2">Address2</option>
  <option value="3">Address3</option>
</select>
<button class="add">change list</button>

JavaScript

$('.add').click(function() {
  $("#select")
    .append($("<option></option>")
      .attr("value", "")
      .text("New Address"));
})