The Foray language of Papua New Guinea has two separate verbs for 'to be', one for inanimate objects and one for animals.

The finding

What the evidence shows

There is no language actually called Foray. The name almost certainly points to Fore, pronounced FOR-ay, the very first New Guinea language Jared Diamond learned by his own account. Papua New Guinea highland languages do have real documented systems where the verb for existence or being changes based on the noun class of the subject, including animacy, for example Enga and Kuman, but these systems usually involve several verb categories sorted by shape, posture and state rather than a simple two way animate versus inanimate split, and none of the sources checked confirm this specific two verb animals versus objects setup for Fore or its close relative Foi. So the general idea has real linguistic roots but the specific claim as stated does not match documented grammars.