Step 1: ITP is an antibody mediated platelet destruction disorder, and the spleen plays a double role: it clears the antibody tagged platelets and it manufactures much of the offending autoantibody. Step 2: Acute management leans on steroids and intravenous immunoglobulin, yet these do not cure the chronic disease. Step 3: When the disease is chronic or fails medical therapy, the operation that addresses both pathogenic roles at once is splenectomy, producing durable remission in the majority. Step 4: Transfusing platelets is futile because they are quickly destroyed, spontaneous recovery is unreliable in chronic disease, and a vague IV infusion is not a defined cure. So the chosen treatment is removal of the spleen. \[\boxed{\text{Splenectomy}}\]