Well, the predictions have been terrible. https://nypost.com/2021/11/12/50-years-of-predictions-that-the-climate-apocalypse-is-nigh/

But let's say they're more than right and temperatures heat up 5° C in the next hundred years. Water levels rise making a lot of currently coastal areas uninhabitable, etc.

The flip side is that a lot of areas of the world with huge land areas covered in permafrost will become more livable. People will migrate. Mankind will adjust and survive. With 100 years of extra technology improvements, new cities in new areas will be built to new standards of energy efficiency, public transit, and general livability.

Mankind will survive.

Now let's instead take the case where an ASI decides to use all of the material of the earth to create megastructures for its own purposes. Then we're all dead. Gone. All life on earth. You, your kids, grandkids, friends, relatives... everyone.