There already have been a few acted video games using different techniques (depending on when the game was released), none of these were similar to 3D games.
Some arcade game in the last 70s used a film projector and some kind of light gun to react the player aiming and shooting, since this didn’t allow for altering the movie in any way (like an overlay), the scene was cut and an alternate ending was shown (e.g. a gunmen falling to the ground). The presentation was pretty bad compared to games nowadays, but probably pretty good at the time.
Some computer games used scenes filmed by live actors that featured alternate storylines depending on decisions of the player or featured a fixed story that progressed while the player finished tasks or riddles in the game.
The best known game with alternating scenes is probably Wing Commander 3 and above, a game that features fixed scenes is, for example, the 7th Guest (this game didn’t have any correlation between the movie scenes and the riddles, so that was kind of disappointing). I also remember a game called Critical Path that featured acted scenes that were actually altered by reacting at the right moment and cut to the alternative scene if the player didn’t (similar to Dragon’s Lair which did that with animated movies).
None of these come even close to a 3d game with live scenes, though.