Tailwind navbar with nested sub menus

Following the below tutorial I can see how to use a Tailwind navbar to code a menu, with a single sub-menu:
https://webcrunch.com/posts/code-a-mega-menu-with-tailwind-css

Link to example via CodePen below:
https://codepen.io/webcrunchblog/pen/MWxGMdR?editors=1010

Code snippet:

document.addEventListener("DOMContentLoaded", () => {
  // Select all dropdown toggle buttons
  const dropdownToggles = document.querySelectorAll(".dropdown-toggle")

  dropdownToggles.forEach((toggle) => {
    toggle.addEventListener("click", () => {
      // Find the next sibling element which is the dropdown menu
      const dropdownMenu = toggle.nextElementSibling

      // Toggle the 'hidden' class to show or hide the dropdown menu
      if (dropdownMenu.classList.contains("hidden")) {
        // Hide any open dropdown menus before showing the new one
        document.querySelectorAll(".dropdown-menu").forEach((menu) => {
          menu.classList.add("hidden")
        })

        dropdownMenu.classList.remove("hidden")
      } else {
        dropdownMenu.classList.add("hidden")
      }
    })
  })

  // Clicking outside of an open dropdown menu closes it
  window.addEventListener("click", function (e) {
    if (!e.target.matches(".dropdown-toggle")) {
      document.querySelectorAll(".dropdown-menu").forEach((menu) => {
        if (!menu.contains(e.target)) {
          menu.classList.add("hidden")
        }
      })
    }
  })
  
  // Mobile menu toggle
  
  const mobileMenuButton = document.querySelector('.mobile-menu-button')
  const mobileMenu = document.querySelector('.navigation-menu')
  
  mobileMenuButton.addEventListener('click', () => {
    mobileMenu.classList.toggle('hidden')
  })
  
  
})
<script src="https://cdn.tailwindcss.com"></script>
​<nav class="bg-sky-600 text-white">
  <div class="container mx-auto px-4 md:flex items-center gap-6">
    <!-- Logo -->
    <div class="flex items-center justify-between md:w-auto w-full">
      <a href="#" class="py-5 px-2 text-white flex-1 font-bold">Webcrunch.com</a>

      <!-- mobile menu icon -->
      <div class="md:hidden flex items-center">
        <button type="button" class="mobile-menu-button">
          <svg xmlns="http://www.w3.org/2000/svg" fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentColor" class="w-6 h-6">
            <path stroke-linecap="round" stroke-linejoin="round" d="M3.75 6.75h16.5M3.75 12h16.5m-16.5 5.25H12" />
          </svg>
        </button>
      </div>
    </div>

    <div class="hidden md:flex md:flex-row flex-col items-center justify-start md:space-x-1 pb-3 md:pb-0 navigation-menu">
      <a href="#" class="py-2 px-3 block">Home</a>
      <a href="#" class="py-2 px-3 block">About</a>
      <!-- Dropdown menu -->
      <div class="relative">
        <button type="button" class="dropdown-toggle py-2 px-3 hover:bg-sky-800 flex items-center gap-2 rounded">
          <span class="pointer-events-none select-none">Services</span>
          <svg class="w-3 h-3 pointer-events-none" xmlns="http://www.w3.org/2000/svg" fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentColor" class="w-6 h-6">
            <path stroke-linecap="round" stroke-linejoin="round" d="m19.5 8.25-7.5 7.5-7.5-7.5" />
          </svg>
        </button>
        <div class="dropdown-menu absolute hidden bg-sky-700 text-white rounded-b-lg pb-2 w-48">
          <a href="#" class="block px-6 py-2 hover:bg-sky-800">Web Design</a>
          <a href="#" class="block px-6 py-2 hover:bg-sky-800">Web Development</a>
          <a href="#" class="block px-6 py-2 hover:bg-sky-800">SEO</a>
                <!-- Dropdown menu -->
      <div class="relative">
        <button type="button" class="dropdown-toggle py-2 px-3 hover:bg-sky-800 flex items-center gap-2 rounded">
          <span class="pointer-events-none select-none">Test</span>
          <svg class="w-3 h-3 pointer-events-none" xmlns="http://www.w3.org/2000/svg" fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentColor" class="w-6 h-6">
            <path stroke-linecap="round" stroke-linejoin="round" d="m19.5 8.25-7.5 7.5-7.5-7.5" />
          </svg>
        </button>
        <div class="dropdown-menu absolute hidden bg-sky-700 text-white rounded-b-lg pb-2 w-48">
          <a href="#" class="block px-6 py-2 hover:bg-sky-800">Nested sub menu item</a>
        </div>
      </div>
        </div>
      </div>
      <a href="#" class="py-2 px-3 block">Contact</a>
    </div>
  </div>
</nav>

How can I modify this code to create a nested sub-menu. For example, trigger an additional sub-menu when clicking on a link within the existing sub-menu.

Attempts to do this by modifying the HTML results in the mainsub-menu closing when trying to trigger the nested sub-menu.

An example of the desired outcome is below:
enter image description here