Too many flaws at the end
It makes no sense that Webster would let the museum personnel see him. Now they can pick him out of the lineup.
It makes no sense that Dave would be fooled by Webster going jogging. He would insist on examining Webster for a gunshot wound. And he probably would’ve brought a cop along.
It makes no sense that Dave caught Webster robbing a jewelry store. What would make Dave go there? It’s not Webster’s usual MO.