Well after last update game at 87% so 13% to go. At 2% update about 6 more update, maybe fewer if some update at 3%. So say game end Septemberish or a bit before most likely. However NLT say that Evie content and KS page continue for some time after main game completed, same as Lust Epidemic sex chamber thing add-on before Treasure of Nadia begin. My guess then is that The Genesis Order start Novemberish similar to LU.
Nah you got it wrong.
Based on how NLT handled the LE > ToN transition, the main story of the game ends a bit before 100%. The extra stuff after the main story ends takes the game to 100%.
Also, the new game starts after the previous game's main story ends, but before all the extra goodies takes it to 100%.
So, the most likely scenario is an overlap of ToN & TGO releases some time in the July/August timeframe, with ToN including all the bonus goodies finishing up in September. And if you want to take Evie's words at face value, ToN's main story is already over and so we might even get the start of TGO in the 2nd half of June.