'Most proper HTML structure to use for parenthetical asides inside a quotation

Suppose I have to translate the following blockquote to an HTML markup:

The quick brown fox jumped (some kind of parenthetical aside) over the head of the lazy dog.

What is the best way to approach structuring the content? Do I just simply wrap the parenthetical aside above in a <span> tag and style it differently like this?

<blockquote>
  <p>The quick brown fox jumped <span class="p-aside">(some kind of parenthetical aside)</span> over the head of the lazy dog.</p>
</blockquote>

Or maybe there's something else I can use for this specific case? Thanks!



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