Actually wrong, Lilith was not the one that contacted mr Black, the one that contacts him is Katoa, the agent from the SCP-682 game. Lilith 100% happens off screen with no previous mention of her.
that’s not 100% the case, Lilith is one of the investors that Smith and Black mention at the end of AFAFF1! But it’s a shame we don’t get to see her.. (yet?)