I also worked on a martial arts B2B SaaS for a martial arts gym owner client as a solor designer. My work included researching the market, making proposals for overal software structure experience, and making a company logo.
During logo design, client expressed an interest in Japanese mon. Since that aligns with the theme of martial arts, I did some research into these icons and generated some options.
I created a few icons that would work well at small sizes - good for web and mobile use. Details like leaves would be hard to see in a small format.