I think the most common "mistake" is that most economists are used to thinking about money in absolute terms, but in real life it's a lot more useful to treat prices as a percentage of your income. That means the utility of money is not linear, so redistribution is good by itself unless it hurts growth so much that average incomes start going down in real terms.
The other one is way deeper and harder to fix but I don't think a lot of people actually believe it, they just use it implicitly in their research. It's that the goal of economics is to maximize efficiency (measured by ROI = profits), not to deliver the best outcomes for the greatest amount of people.
From this point of view a platform like Doordash is efficient because they underpay workers and overcharge customers, and so are surveillance data brokers. That's clearly not a perspective that gets us into a better society. But measuring quality of life is much harder than taking two numbers every company is legally required to count.
I always found the question “what is a good life?” to be one of the most interesting and consequential philosophical questions. People have found very different answers for this over the millennia.