The nil-isomorphic symplectic realization conjecture

Let $L$ be a shifted Poisson stack. A symplectic realization of $L$ is an $n$-shifted Lagrangian morphism $L\to X$ lifting the given $(n-1)$-shifted Poisson structure along the forgetful map from $n$-shifted Lagrangian structures to $(n-1)$-shifted Poisson structures. A morphism is a nil-isomorphism when it is an isomorphism on reduced stacks. Nil-isomorphic symplectic realization conjecture. There is a unique symplectic realization $L\to X$ for which $L\to X$ is a nil-isomorphism. This statement is described as currently being investigated by Costello--Rozenblyum and Calaque--Vezzosi, so its existence and uniqueness remain open.