How to make my absolute cover the whole container with overflow scroll?

Question

I have a container (position: relative) with limited height (in my HTML it's limited by a flex box so I actually don't have the 200px as in the below code shows). It has the content that determines its width and height. Above the content, I have an absolute cover with a background to partially cover the content.

However, when the content overflows, and scrollbars appear, the .cover element does not stretch out. I have tried the following:

• width and height to 100%.
• right and bottom to 0.
• From another SO answer I cannot find again, I set min-height: 100% and bottom: auto.

None of the above stretch the .cover to match the content. Is it possible?

p {
  width: 2000px; /* Simulating a wide content */
  height: 300px;
  background: cornflowerblue;
  margin: 0;
}

.my-container {
  position: relative;
  overflow: auto;  
  height: 200px; /* Simulating limited space */
  border: 1px solid red;
}

.my-container .cover {
  position: absolute;
  left: 0;
  top: 0;
  width: 100%;
  background: rgba(0,0,0,.8);
  /* I have tried each of these: */
  /*height: 100%;*/
  /*bottom: 0;*/
  min-height: 100%;
  bottom: auto;      
}

.my-container .cover span {
  background: white;
  padding: 1rem;
  margin: 1rem;
}

<div class="my-container">
  <div>
    <p>Very long text line or very wide image.</p>
  </div>
  
  <div class="cover">
    <span class="cover-content">Hello</span>
  </div>
</div>

Answer 1

Thanks to "pier farrugia"'s comment, I realized I could make a scrolling container separate from the cover parent. So I just need to add another wrapper:

.scrolling-container {
  overflow: auto;  
  height: 200px; /* Simulating limited space */
  border: 1px solid red;
}

p {
  width: 2000px; /* Simulating a wide content */
  height: 300px;
  background: cornflowerblue;
  margin: 0;
}

.my-container {
  position: relative;
  width: fit-content; /* This is needed to expand the width to match content */
}

.my-container .cover {
  position: absolute;
  left: 0;
  top: 0;
  right: 0;
  bottom: 0;
  background: rgba(0,0,0,.8);     
}

.my-container .cover span {
  background: white;
  padding: 1rem;
  margin: 1rem;
}

<div class="scrolling-container">
  <div class="my-container">
    <div>
      <p>Very long text line or very wide image.</p>
    </div>

    <div class="cover">
      <span class="cover-content">Hello</span>
    </div>
  </div>
</div>