Well, the mobo header specs say max 3A, which also MAY mean 60 LED's, but that depends on the actual LED specs. The Alitove system specs say it has 150 LED's and consumes 45 W, which is 9 A at 5 VDC. So 3 A max from the header can power up to 1/3 of the entire Alitove system - that's 50 LED's.
If you are doing it this way, you probably have to manufacture your own adapter cable. To start you need three things:
(a) a cable with a "standard" ARGB female connector that you can plug into your mobo header, like this
https://www.amazon.com/XSPC-3-Pin-Extension-Cable-Black/dp/B07D51MJM5/ref=sr_1_9?ie=UTF8&qid=1536852771&sr=8-9&keywords=addressable+RGB+cable
You can then cut off the male end, bare the wires, and splice in onto the wires for your shortened Alitove strip.
(b) the wiring code of the Alitove strip. The diagrams on that Amazon page show that it uses RED for the +5 VDC supply, BLACK for Ground, and GREEN for the signal line.
(c) the pinout for your mobo's ARGB header, as shown on p. 1-21 of its manual. Using that and a resistance tester you can figure out exactly which bared line of the decapitated extension cable in (a) above should connect to which wire of the Alitove unit, then connect, solder and tape them.