如何将图像覆盖添加到可单击按钮

<button id="overlayButton" class="button">
  <img src="path_to_image.jpg" alt="Button Image" class="button-image">
  <div class="overlay"></div>
</button>

.button {
  position: relative;
  padding: 10px 20px;
  border: none;
  background-color: #f0f0f0;
  cursor: pointer;
}

.button-image {
  width: 100%;
  height: auto;
}

.overlay {
  position: absolute;
  top: 0;
  left: 0;
  width: 100%;
  height: 100%;
  background-color: rgba(0, 0, 0, 0.5); /* 半透明黑色 */
  opacity: 0;
  transition: opacity 0.3s ease;
}

.button:hover .overlay {
  opacity: 1;
}

document.getElementById('overlayButton').addEventListener('click', function() {
  alert('Button clicked!');
});