  We use a variant of Salikhov's ingenious proof that the irrationality measure
of $\pi$ is at most $7.606308\dots$ to prove that, in fact, it is at most
$7.103205334137\dots$.
  Accompanying Maple package: While this article has a fully rigorous
human-made and human-readable proof of the claim in the title, it was
discovered thanks to the Maple package available from
http://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/pimeas.html
