[games] Update game detail template to show Twine play buttons

[Abebes01]

The game detail template currently only shows play buttons for embedded games with URLs, but games with uploaded Twine files don't have any visible play functionality. We need to update the game_detail.html template to detect when a game has a Twine file and display an appropriate "Play Story" button that links to our new Twine player interface. This should use conditional logic to show the right button type based on whether the game is embedded or file-based, with different icons to distinguish the experience types.

[Abebes01]

Implimented!

[MuyanXie]

Issue Score: excellent

Comments:
Please notice you close prematurely before the PR is merged. Other than that, everything looks great!