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Dynamically change the path of an animateMotion SVG element on event

I want to , for a specific event, such as onclick, as a specific SVG element, change that SVG’s animateMotion element and play that animation again. My current code does replay the animation correctly, but does not change the path attribute

<!DOCTYPE html>
<html>
<head>
    <meta charset="utf-8" />
    <title>SVG Example</title>
    <style>
        * { padding: 0; margin: 0; }
    </style>
</head>
<body>


<script>
  window.addEventListener("click", function(e){
    var dot = document.getElementById("reddot");
     dot.path = 'M 0 0 H ' + (e.clientX) + ' V ' + (e.clientY);
     dot.beginElement();
  });
</script>
<svg viewBox="0 0 500 500" xmlns="http://www.w3.org/2000/svg">

  <circle cx="0" cy="0" r="2" fill="red">
    <animateMotion dur="5s" id="reddot" repeatCount="1" path="M 0 0 H 10 V 10" restart="always" />
  </circle>
</svg>

</body>
</html>

Clicking multiple times plays the animation multiple times, yet path does not change. The specific goal of this is to create an animation where the animation moves to where the mouse was clicked.

Answer

The DOM class of <animateMotion is SVGAnimateMotionElement. That class has no path property (see docs). So dot.path = "..." is doing nothing.

Use dot.setAttribute("path", "...") instead.

window.addEventListener("click", function(e){
    var dot = document.getElementById("reddot");
     dot.setAttribute("path", 'M 0 0 H ' + (e.clientX) + ' V ' + (e.clientY));
     dot.beginElement();
  });
* { padding: 0; margin: 0; }
<svg viewBox="0 0 500 500" xmlns="http://www.w3.org/2000/svg">
  <circle cx="0" cy="0" r="2" fill="red">
    <animateMotion dur="5s" id="reddot" repeatCount="1" path="M 0 0 H 10 V 10" restart="always" />
  </circle>
</svg>