I’m referring to strict definitions that are found in science.

Where exactly are the strict scientific definitions you're using for Believe and Accept? Do you have a link?
I showed you the strict definitions I was using.

Good scientists look for ways they are wrong; people holding onto beliefs look for ways to back up why they’re right.

Both of those are epistemologies. One good, and one bad. But epistemologies are only ways to reach a belief. They aren't part of the belief itself. Much like the road isn't the destination. You're including in the definition of Belief, a pattern of behavior, a specific epistemology. But it doesn't have one. Not even in common vernacular. In some specific religious contexts it might, as you say. But Belief is used in vastly more contexts than religion. Someone who believes it won't rain, isn't obligated to hold that belief when they see dark storm clouds approaching. Or are you saying they they'll have to make excuses for why it won't rain? Else they didn't actualy Believe, and just Accepted that it wouldn't rain?