What run test video? TestComplete, by default, does not generate a video of the test when the execution is run. Are you using CBT? If so, there is a video available but I'm not sure if it can be downloaded via TestComplete.
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Why automate? I do automated testing because there's only so much a human being can do and remain healthy. Sleep is a requirement. So, while people sleep, automation that I create does what I've described above in order to make sure that nothing gets past the final defense of the testing group.
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You can check beloe post , to get more info on how to record Test execution.