Finished the game, gotta say it's very nice imo.
The bad ends didn't drag us too long with the storytelling and few more choices to reach it (one choice - watch scene - bad end).
To be honest this is not really a full sequel to TA3, it's a sequel to one ending in TA3 (yep an alt timeline, and prepare for a surprise) so i think Black Lilith might milk the series for more?
Overall great one, this has all the things you would expect from a Lilith game.
And many thanks to Rance for doing my request, you are the best!