“We apologise for any inconvenience this may have caused.”
“If my comments struck anyone as offensive, I am sorry, as that certainly wasn’t my intention.”
“I’m sorry I said that, but I have too much going on.”
Conditional apologies are pointless. They seek to avoid responsibility, make excuses, or downplay what was done.
Owing your screw-ups requires some courage. But it’s the only way to repair damage and rebuild trust.
You can either sweep the entire thing under the carpet. Or, you can acknowledge the wrongdoing and make a sincere effort to fix it.