incorrect comment blocks in html script blocks

if I have a html string like this;

```
let str = /*html*/`
<div> This is a div </div>
<script> console.log("This is script")</script>
`
```

I want to use the comment shortcuts in vs code to comment out the js within the script tags.
I would expect the comment command to add `//` to the line.
Instead it adds `` to the line.