It’s a very weird bug which affects Android only (or perhaps even Samsung only?) and it was introduced as early as beta app 3.1.0.b560. It won’t even show under “recent files” in file manager until you actually view the video or rename it by accessing Internal storage > DCIM > wyze > cam v3 > manual.
The quickest workaround which seems to work for me is by closing Samsung Gallery (recent app and swipe up) and open it again and scroll up for it to refresh and it should appear. Afterwards, it should appear in your file manager under “recent files” as well.
I’m using Samsung S20 FE (Android 13, One UI 5.1) with Samsung Gallery app v14.5.08.0. Cam V3 FW: 4.36.13.0416.