Who May Require General Liability
Long before a claim tests your policy, other people's paperwork will.
Your landlord will require liability limits and additional insured status in the lease, which is standard in commercial leases and the reason most studios buy their first policy. School districts, parks departments, and community centers hosting your after school or camp programs ask for the same, often with abuse and molestation coverage confirmed for youth work. Tournament venues, event hosts, and franchisors add their own certificate demands, each wanting to be named as an additional insured.
All of it runs through a certificate of insurance with the right wording. We issue certificates the same day because a lease signing or a camp contract should never be stalled by paperwork.
Quick question: does your current policy actually name sparring, grappling, and the specific disciplines you teach? Carriers underwrite martial arts by activity, and an undisclosed MMA program on a policy written for a traditional forms school is a claim dispute waiting to happen.