The figures in my post are ephemeris days since that’s the way Wikipedia lists them.

https://en.wikipedia.org/wiki/Sidereal_year

https://en.wikipedia.org/wiki/Lunar_month#Sidereal_month

“And some change” is a phrase to refer to a number following a decimal point, meaning the sources I find claim there are thirteen point something sidereal months per year, at a figure too low to round to 14. Here are some example sources:

https://en.wikipedia.org/wiki/Orbit_of_the_Moon#Lunar_periods

http://scienceline.ucsb.edu/getkey.php?key=1126

I still can’t find a source which says the moon makes 14 sidereal orbits per year, using any definition of year.