How to select an element that doesn't have any descendants with specific class?

Question

Given the sample below, how do I select all p that do not have any descendants with the avoid class?

<div class="avoid">
  <div>
    <p>I don't want to style this one</p>
  </div>
</div>
<div>
  <div>
    <p>Style only this one</p>
  </div>
</div>

I tried :not(.avoid) p, but it doesn't work because some descendants of p don't have the avoid class, which is expected in my codebase.

I can't use :has