Yep it is a good idea
If you can do it safely, it is part of my qualifications every year as a responder to qualify on a stress course or tatical course as we now call it. It includes a few mins of running followed by a qualification course that includes transitioning between, AR, shotgun, and handgun. Includes loud music playing in background and shell casings being thrown at you along with firing with gas mask and vest on.
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