Cool, I’ll try these out. Thanks for checking.
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The 3-check is winning for white (ev=+3.5, SF11, d=41)!

Here's the tree of best openings with Stockfish evaluation:
1. e4 (+3.5) c5 (+2.0) 2. Nf3 (+3.0) Nc6 (+2.3) --> 3. Nc3, Be2, b3, Bc4 (+2.8/+2.6)
2. Nc3 (+2.9) e6 (+2.2) --> 3. Nf3 (+4.2)
Nc6 (+2.3) --> 3. b3 (+2.8)
1. Nc3 (+3.2) e6 (+2.2) 2. Nf3 (+3.0) c5 (+2.6) --> 3. e4 (+3.5)
Bb4 (+2.9) --> 3. a3 (+3.0), e4 (+2.9)
c5 (+2.4) 2. Nf3 (+3.1) Nc6 (+3.0) --> 3. d4 (+3.4), e4 (+3.2)
e6 (+3.3) --> 3. e3 (+2.5)
My previous threads:
https://www.chess.com/forum/view/chess960-chess-variants/3-checks-best-openings-1
https://www.chess.com/forum/view/chess960-chess-variants/three-check-best-lines-by-sf9