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I'm thinking about contacting the mall operator to see if I can obtain video (if any exists).
Stop thinking and start doing. Those videos typically get over-written in a few days.
Otherwise doesn't the physical damage prove, regardless of what their story is, that I entered the parking space first and was then struck by them?
There's no doubt that you make a good point and witnesses and/or video could support that. But being right isn't going to change the claim rep's offer. Only "evidence" will, or a court judgment.