And let you access all the grimoir stuff there, that would solve so many issues. Then you would actually be going out, researching and gathering information for the tower. Plus, it'd make the tower less bland.
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A library is still just as inconvenient as pulling out your mobile app, perhaps even more so due to having to jump through the loading screens to get to the tower. They should just be in the options UI, with a quick access audio track for those you have just collected, so you can hear them as you collect them, keeping you in the game and keeping them contextually relevant to your current actions.