JSFiddle - React, Tailwind, and code Playground

HTML

<select id="thePage:form:pBlock:address:addressTypeSelectionDropdown" name="thePage:form:pBlock:address:addressTypeSelectionDropdown" size="1" onchange="onchangeOfPicklist()">    
    <option value="User Entry">User Entry</option>
    <option value="CustomerID">CustomerID</option>
    <option value="Closest to Customer">Closest to Customer</option>
    <option value="Location">Location</option>
    <option value="Customer's Address" selected="selected">Customer's Address</option>
</select>

<script>
	onchangeOfPicklist = ()=>{
  	console.log("changed")
  }
</script>

JavaScript

let select = document.getElementById("thePage:form:pBlock:address:addressTypeSelectionDropdown")
select.addEventListener("change", (event)=>{
	console.log(event)
	window.onchangeOfPicklist()
})