Hi @Brent_Attaway and welcome to the forum!
As you’ve (probably painfully) discovered, Asana and Zapier together don’t currently give you the tools you’re asking for to get Heymarket updated.
FYI you can accomplish exactly that with a Flowsana If-Then Rule. Unlike Asana, Flowsana’s Rules support tags (both adding and removing them) both in triggers and actions.