Not Sorry
When someone is offended, do you apologize?
An automatic sorry can be a lazy response. Many people are looking for ways to be offended. Especially by a rich white guy.
When you’re a prideful jerk, say you're sorry. Be kind.
On the other hand… don’t placate someone against your core value structure. It’s disingenuous and unloving.
Here is a useful filter to apply to what you’ve said:
Was my pride a factor?
Did I violate my values?