Furthermore, swimming can help you burn twice the amount of calories for the same amount of time and is easier for the joints.
Lastly, I would highly suggest against running for cardio, regardless of weight. Unless you want to go for a run once or twice a week, maybe three times, out of enjoyment, I think it is an outdated form of cardio for combat sports. The only time I would see it justifiable is HIIT sprints, such as 20 rounds of 10 seconds sprints, and a 5-second jog, which was part of my boxing conditioning a few years ago. However, running places a lot of stress on your joints. Furthermore, swimming can help you burn twice the amount of calories for the same amount of time and is easier for the joints. It also has benefits for muscle recovery and therapy.