How to make an Escape Game in Neptunia Game Maker R:Evolution
To progress Chapter 7 in Neptunia Game Maker R:Evolution you’re required to make an Escape Game. It’s a sub-genre that you need to unlock. To unlock Escape Game Genre, make a Visual Novel building, then go into level 3 investment in the skill tree as shown below.

To get the key items required to upgrade the skill tree to level 3 simply dispatch your game developers into regions you’ve unlocked (keep exploring the menus to find the option). You can also break crates in dungeons to obtain key items, but it’s a lot easier to just dispatch your developers instead.
You’ll have to wait after dispatching your developers. I would recommend going into a dungeon, doing a battle or two, and then come back and they’ll have arrived with random items. You can also save before you go into the menu to collect items from the developers you dispatched and you can reload your save to keep trying to get the items you want.
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This was probably the worst part of the game, trying to figure out how to unlock certain genres.
I’m happy you got through it though, the game should’ve explained it better.