RB2011iL-RM able to power cAP AC via POE?

Hello,

I have a RB2011iL-RM with poe output on lanport 10. I am unsure if it will be able to power a cAP AC via POE.
The RB2011iL-RM output specification is Passive POE 24V (via Original Power Adapter) / 0.5A max.
The cap ac supports passive poe input from 17-57V with max. consumption of 13 W.
The optional poe injector seems to be supplied by a 24V/1.2A adapter.

So I have to assume it will not work when the cAP ac reaches its maximum?

Thanks a lot

Tom