First TV Video Game — 1958, 1972, or 1972? Depends on Definition

Three milestones claim "first TV game" depending on criteria:

Nuance

• Tennis for Two — Brookhaven Lab, analog computer, oscilloscope vector display. Not a "TV" but a screen.
• Computer Space — Nolan Bushnell, Nutting Associates, fiberglass cabinet, GE TV. Commercial failure but proved market.
• Odyssey — Ralph Baer, "Brown Box" prototype 1968. Cartridge = jumper cards. No CPU—discrete logic. 350K sold.

Consensus

Odyssey (1972) = First home TV game system.
Computer Space (1972) = First arcade TV game.
Tennis for Two (1958) = First electronic graphical game.

Define "TV game" and the answer follows.