Regex matching for multiple html tags

I am trying to find a regex that matches if all tags in a piece of HTML are empty, regardless of attributes and if there are nested tags.

My code essentially looks like this:

const emptyHtmlTagRegex = new RegExp(/<[^/>][^>]*></[^>]+>/);

if (emptyHtmlTagRegex.test(this.htmlContent)) {
  // Output placeholder
};

And I’d like to get a match when this.htmlContent is for example:

<ul><li class="class-name"></li></ul>

<p></p>

But not match if this.htmlContent is:

<p>nomatch</p><ul><li></li><ul><p></p>

The regex does not match the entire string so the test method reports false positives if there are trailing empty tags: Regex 101 sample

I’ve also tried to use this.htmlContent.replace(regex,'') and look for empty strings but that failed because of compatibility issues with the testing framework I use.