In short, no, Sprizzy does not count or charge you for any views that do not originate from your Sprizzy campaign.
The value displayed in the "Video Views" / "Total Video Plays" columns represents the views you are charged for. The view counts displayed are imported directly from Google Ads.
Sprizzy does not count or charge for views you've received organically or through other promotion sources (including views from other Google Ads accounts).
In addition, if a viewer from your Sprizzy promotion watches your video again or any other videos in your channel, you are not charged for these views -- they are free to you. Likes, comments, subscribers are also free.
Suggested article: How do I verify I received my views from Sprizzy?