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Below are the instructions I took and modified from here: https://www.vlchelp.com/add-logo-watermarks-over-videos-vlc/
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- From the menu bar, go to Media > Convert / Save. [CTRL + R]
- Click on Add, and browse and add the current video.
- Click on Convert/Save.
- In the next step, edit the profile settings first
- Navigate to Video codec > Filters tab
- Check the ☑ Logo video filter and hit Save.
- Choose an appropriate destination location and filename and press Start.
- Press Play in VLC to begin the process.
Here is one example that I have tested on one of my video: