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Or is it Adobe Animate? Or After effects?
You could do 'some' of the things in the video you linked but not all in Premiere Pro
Likely a combination of Premiere and After Effects. You could probably do this in either one. I recommend you start with Premiere and add After Effect when you have more confidence and need its power.
Premiere Pro will work for the video editing and titles but a lot of the backgrounds may have used Photoshop and Illistrator.