The query does correspond to an official Sega product. Instead, it describes a fan-made or hypothetical project blending:
That is the promise of Sonic Battle HD Deluxe Edition . It isn't an official SEGA product. It is a fan's fever dream—a custom MUGEN build that takes the chunky, pixelated GBA sprites, upscales them, adds HD backgrounds, and shoves in every Sonic character you can think of. sonic battle hd deluxe edition mugen hot