>What does it means to be a "fake" think tank?

presumably that you don't have employees that do any of the proverbial thinking, which is the case here.

Every think tank has its biases and funding sources but something like RAND is an actual entity at which people do research, this "Hanover Public Policy Institute" has nothing to do with Hanover, policy and isn't an institute, but a deliberately misleadingly presenting arm of the Israeli government proxied through a German advertising company