Where do branded games actually live — on a TV, a phone, a kiosk?

All of the above, and one more: your website. We design for four conversion surfaces — trade-show kiosks, live-venue TVs (with phones as second-screen controllers), subscriber apps and newsletters, and website hero/conversion sections. The surface determines almost everything: session length, input method, art direction, even the lead-capture moment. Pick the surface first; design the game second.