Oh boy…

Anarchists recognize class as a social construct rather than a biological imperative or a free market condition. As a result, they will often make a point of transgressing or undermining the pageantry that class-centric organizations cling to.

Its not that they think “no classes” will be a result so much as they think “explicitly defying class” is a political act.

Anarchy means “without hierarchy”. Classes are a hierarchy, so by definition it wouldn’t be anarchy if you don’t dissolve class.

Anarchism is not the thing you’re told about in the media. It isn’t a total lack of all government. It’s a removal of hierarchical systems and exploitation. There still needs to be systems to protect people from these. They’d just be done through concensus.

This page has more information if you want to learn. https://anarchistfaq.org/afaq/sectionA.html#seca1

Yes, because anarchism is against all hierarchies and the class system is a form of hierarchy. Instead, decisions should me made collectively, for example in councils open for everyone