Feedback for Intermediate Algorithms: Convert HTML Entities

Hi there,
See my Code below and give me some feedback please. How good is this solution? Is there a possibility to convert my switch statement into a regex? Or is if/switch necessary if I have to alternate the responde for my regex queries?

function convertHTML(str) {
let result = str.replace(/(&)|(<)|(>)|(")|(')/g, (match, p1, p2, p3, p4, p5) => {
  switch(match) {
    case p1:
      return "&amp;";
    case p2:
      return "&lt;";
    case p3:
      return "&gt;";
    case p4:
      return "&quot;";
    case p5:
      return "&apos;";
return result;

convertHTML("Dolce & Gabbana");

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Challenge: Convert HTML Entities

Link to the challenge: