Math question re: the solar eclipse

First let me apologize for my deteriorated math skills.
OK, here's my question:
I want to sync DSOTM so that the last song (Eclipse) ends
as the real one does. Totality ends at 13:29:51 and the
run time for DSOTM is 42:59. What time, to the second,
do I hit "play"?

Thanks in advance! And, yes, I plan to imbibe.