  Bell nonlocality is a valuable resource in quantum information processing
tasks. Scientists are interested in whether a single entangled state can
generate a long sequence of nonlocal correlations. Previous work has
accomplished sequential tripartite nonlocality sharing through unsharp
measurements. In this paper, we investigate the sharing of tripartite
nonlocality using only projective measurements and sharing classical
randomness. For the generalized GHZ state, we have demonstrated that using
unbiased measurement choices, two Charlies can share the standard tripartite
nonlocality with a single Alice and a single Bob, while at most one Charlie can
share the genuine tripartite nonlocality with a single Alice and a single Bob.
However, with biased measurement choices, the number of Charlies sharing the
genuine tripartite nonlocality can be increased to two. Nonetheless, we find
that using biased measurements does not increase the number of sequential
observers sharing the standard tripartite nonlocality. Moreover, we provide the
feasible range of double violation for the parameters of the measurement
combination probability with respect to the state.
