A self-serving bias can cut two ways. Avoid any form of self-destruction.
As you'll see in this video, if you take credit and say, "Those good things are due to me," then you have a self-serving bias. If you say, "Those bad things are not my fault, they happen to me because of someone or something else," then you have the other side-of-the-sword where you are playing the victim.
Basically, having these kinds of biases hobble your growth.
The solution is to let go. Let go of the credit. Let go of the victim language. Just let go of the bias altogether.
It all correlates to the versions of the truth. There's your truth. The other person's truth. Then theirs likely 'the truth.'
Having a bias may make you feel good. You may feel vindicated. You may feel 'right.' Your bias may launch you into, "The good fight." But if bias has anything to do with ego or fear, it is a bias that is on the road to dysfunction.
If you absolutely HAVE to HAVE bias, then have a bias for LOVE while you have a bias against hate.
As Martin Luther King said, "Hate is too great a burden to bear."
Look for ways you can observe without judgment. Look for opportunities to clarify someone's point of view. Challenge yourself to actively listen over silently formulating what you're going to say next. Self-serving biases diminish your relationships with others, and, get this, your self.
Breakthroughs in life happen when you are constantly in the solution loop of listening, not talking. Test out what you think and challenge your own beliefs. Be part of a conversation not a one-way stream of your biases. Being right is far less important than being happy.
Let go of the self-serving bias.