Diversity of Lipschitz-free spaces over countable complete discrete metric spaces

We show that there are uncountably many mutually non-isomorphic Lipschitz-free spaces over countable, complete, discrete metric spaces. Also there is a countable, complete, discrete metric space whose free space does not embed into the free space of any uniformly discrete metric space. This enhanced diversity is a consequence of the fact that the dentability index D presents a highly non-binary behavior when assigned to the free spaces of metric spaces outside of the oppressive confines of compact purely 1-unrectifiable spaces. Indeed, the cardinality of ( F(M)): M countable, complete, discrete\ is uncountable while ( F(M)):M infinite, compact, purely 1-unrectifiable\=\ω,ω²\. Similar barrier is observed for uniformly discrete metric spaces as higher values of the dentability index are excluded for their free spaces: ( F(M)):M infinite, uniformly discrete\=\ω²,ω³\.