Let me reiterate: If these other forms of life go extinct, homo sapiens will go extinct. What point is there in air conditioning if agricultural yields plummet over a huge portion of the earth's surface?
Consider birds for a moment, because they are familiar to most people and widespread. Bird populations have decline by a third during my father's lifetime. This is a multi-factor problem, but we know climate change and sea level rise leads to excess migratory bird mortality.
For more, see: https://wwnorton.com/books/9780393608908