Your mistake, or shall I say, intentional misreading, is assuming that the existence of global warming is something that needs to be proven in the year 2021.

We have already established that AGW is real. Nobody in their right minds are asking "Does this unprecedented heat wave prove the existence of global warming?"

They are asking "Now that we know global warming is happening and that we're experiencing an unprecedented heat wave, is it likely that they are linked and we'll likely see more such events in the coming years?"