Hi SPD,
Just Cassiopeia template has extra CSS styles for that view, I haven't seen module override - that's all.
Start from DELETING that folder: templates\My-template\html\mod_articles_latest
then Joomla 4.x should use HTML/php code as Cassiopeia does for "News" module. Then just can copy code (CSS) from Cassiopeia and use inside your template.
Sorry, but this kind of customization is on your hands only.
OR
Find much more advanced News display module (many of them you will find on JED) and use it, they have built-in CSS styles. But for those in most cases you have to pay.