Oppli (in birch finish) is a laquered, real-wood veneer, not a wood-effect laminate. You won't need any special paint as long as you prepare the surface correctly.
If I was you, I'd disassemble it (if you've already built it) and paint it in sections. Then I'd key the surface by lightly sanding with fine sandpaper (at least 120 grit), and use automotive spraycans (like you get in halfords) to get a decent finish. Put on 2-3 light coats of primer, sanding in between with 400 grit, and then 4-5 coats of black, again in light layers.
If you're just intending on brush-painting it with oil-based paint from B&Q or the like, then just key the surface as above, and prime it before putting on the final coat(s).
HTH