“it is difficult to imagine how the human mind could function without the conviction that there is something irreducibly real in the world; and it is impossible to imagine how consciousness could appear without conferring a meaning on man's impulses and experiences. Consciousness of a real and meaningful world is intimately connected with the discovery of the sacred. Through experience of the sacred, the human mind has perceived the difference between what reveals itself as being real, powerful, rich, and meaningful and what lacks these qualities, that is, the chaotic and dangerous flux of things, their fortuitous and senseless appearances and disappearances"
Eliade, Mircea. The Quest: History and Meaning in Religion. University of Chicago Press, 1984
Now, while Eliade’s word is not final, I think it touches on your question of what spiritual means in the context of mankind. Being a spiritual animal means being an animal embodied with consciousness, an animal that is aware of its existence in both space AND time.
Eliade is a great read for a number of reasons but the best reason is because he can be read from an atheistic or religious perspective and his passages are no less revelatory. If you want to believe that there is no purpose to existing that is fine, I wouldn’t recommend it, but that is fine. But that doesn’t take away from the fact that consciousness transcends evolutionary necessity and by that nature alone deserves serious and legitimate thought and preservation.