Dear Syag,
The main part of the story, is not verifiable. If it is three minutes, it is nearly impossible to assume that the cops are completely innocent. [at this point, I have serious doubts about the timeline being true.] If there was more time, then it makes more sense to assume that they did everything right. Until, they were left with arresting him over (at least) a legality, and the suspect resisted arrest, which left the officers with little choice. It would be similar to the Rayshard Brooks case, in that it underlines that multiple nice cops are no match for one black man determined not to go to jail.
There is simply no coherent story of what went on between the dispatch and the video. This thread from the OP on, has been about the police and their take. That Blake threw caution to the wind, was obvious from the getgo and never disputed.