Possessive Apostrophe

Question

Rorys approach was different, taking a leaf out of one of his favourite games. The game’s most memorable lesson for Rory was blackmail.

Is the apostrophe in this case correct?

Answer 1

Yes, it is a genitive. Whose most memorable lesson? The game's.

Whose can be considered to work with things, too.

Thanks to @MichaelHarvey: Also at the beginning, there should be an apostrophe. Whose approach? Rory's.