Sorry for getting to this so late. There's nothing super character specific against Adam that Lex does setup-wise outside the factor that he has single-hitting and immobile wakeups. The best thing I can say is to be aware that his mobility against Lex's zoning comes from divekicks, and good placement of mines in trait zoning (for example, putting a close mine right in front of you) can let you be effective with it. It's not so much Lex has character-specific dirt on him so much that Black Adam doesn't have anything significant against Lex's game that makes it an even matchup. It's probably one of the most even matchups I can think of, and the better player usually wins for it.