That’s a lot of effort unless you have the dual-battery need for other purposes (cooler etc.).
I would look into a pump with battery (like posted by paddlinpals above). That way you are more flexible and you avoid the voltage drop of the tiny wire they use. To each their own… I ended up with the manual pump and wouldn’t bother with electric pump anymore. The real hassle of an inflatable is not pumping, it is folding down and drying.
I didn’t measure the wire size. But it was listed to have a 12A fuse. So we would need at least #14 wire and it sure didn’t look like that.
Worse, the voltage drop will cause the motor to draw more current, which increases voltage drop even more. I guess if one is willing to lose the warranty (no!), one could use a better wire.