According to internal Sony presentation leak, GI made over 1 billion on PS between game launch and October 2022
Based on page 6 note and page 7.
MLB The show 2021 revenue: 181.6M
MLB The show 2022 revenue: 143.3.6M
MLB The show 2021 Normalised LTD revenue: 26%
MLB The show 2022 Normalised LTD revenue: 20%
Genshin Normalised LTD revenue: 143%
Genshin revenue: = (181.6M+143.3.6M) * 143% / (26%+20%) = 1.01B
that means sony made a 300M cut. It's no wonder they help promote the game.