

yt-dlp should still be the best option. When it comes to unsupported websites you usually need to add some options. Most of the time this is just --referer https://example.com/ with the website being the one this is hosted on.
There was a discussion about something similar some month ago here. Where I made a more detailed comment.
(You could DM me more details (like the catoon site and the cartoon you want to download) and I could look into it more closely.)

You can just fork it and replace the image.
The authors talks about it here on their blog a bit more.