What we have now matches what many of the popular texts would call "Narrow AI", which is limited to specific tasks like speech recognition or playing chess, or mixtures of those.
Traditionally AGI represents a more aspirational goal, machines that could theoretically perform any intellectual task a human can do.
Under that definition we aren't close, and we will actually need new math to even hope to reach that goal.
Obviously individuals concepts of what 'AGI' differ, as well as their motivations for choosing one.
But the traditional hopeful mnomics concept of AGI is known to be unreachable without discoveries that upend what we think are hard limits today.
Machines being better at arithmetic, the ties from to the limits of algorithms is actually the source of the limits.
The work of Turing, Gödel, Tarski, Markov, Rice etc... is where that claim is coming from IMHO
Fortunately there is a lot of practical utility without AGI, but our industries use of aspirational mnomics is almost guaranteed to disappoint the rest of the world.