I think most commonly indemnification agreements are actually regarding B suing C or vice versa. E.g. if I sell you some software to use in your product ot rese

I think most commonly indemnification agreements are actually regarding B suing C or vice versa. E.g. if I sell you some software to use in your product ot resell, don't come sue me because you got yourself in trouble with it somehow. To protect a third party from liability you would have to operate somehow like insurance, and that has a lot of legal requirements like you need to have sufficient cash in a bond or something to be able to guarantee you can pay claims.