  A tripartite state is said to be a potential resource for secret sharing if
the state imposes restrictions on the teleportation fidelity of the bipartite
dealer--reconstructor and dealer--assistant channels in addition of being
useful for the state reconstruction. Given a secret shareable state in a pure
three-qubit system, we are able to characterize the set of states with maximum
possible reconstruction fidelity (abbreviated as MSR states) for a fixed value
of the maximum teleportation fidelity that can be obtained out of both the
dealer--receiver channels. Similarly for a value giving the maximum of
Bell-CHSH value of both dealer--reconstructor and dealer--assistant channels,
we are able to find the maximum achievable reconstruction fidelity.
Interestingly, we find that all secret shareable states satisfy Bell's
inequality in both dealer--reconstructor and dealer--assistant partitions. This
brings out a new mutual exclusivity between secret shareable state and Bell's
inequality violations. Our result paves the way in identifying the best
candidate among the secret sharing resource states in achieving the maximum
reconstruction fidelity thus by setting the practical information transfer
limit in a possible resource theoretic extension of secret sharing. It also
brings out a new kind of mutual exclusiveness between the bipartite correlation
and in the ability of secret sharing in a tripartite setting.
