If no-one has posted this:

Interrupted cadence with minor/major modal interchange.

Cadence:

A7 Dmaj7

Cadential ii-V-I

Em7 A7 Dmaj7

Interrupted cadence

Em7 A7 Bm7

Interrupted cadence in the parallel minor mode

A7b9 Bbmaj7

Major ii-V preceding an interrupted cadence (i.e. modal interchange)

A7 Bbmaj7

BTW in Real Book era changes:

Em7b5 A7b9 Bbmaj7
is a sub for
Bbo7 Bbmaj7
or some such

in the case of Tune Up, no idea.