ch(3,1)
Infinite Chess Game with Witch + Archbishop (josephyossi vs. Naviary) Unrated
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BxN
CxB on 3,3
illegal because the pawn on (3,2) is in the way
The witch makes it transparent
the witch only makes adjacent pieces transparent, the pawn is 2 squares away from the witch so it is not transparent.
Witch (W) - The witch is transparent to friendly pieces, and she also makes all adjacent pieces (friend and foe) transparent to friendly pieces (but pieces are not transparent for the witch). The witch does not capture other pieces, but she can be captured. Although pieces are not transparent to the witch, she is very agile; she combines the movement of queen, knight, and can jump orthogonally and diagonally two squares. Transparency of a piece means that other pieces can move, attack, and capture right through the piece.
You highlighted her mobility, not what pieces she makes transparent.
Witch (W) - The witch is transparent to friendly pieces, and she also makes all adjacent pieces (friend and foe) transparent to friendly pieces (but pieces are not transparent for the witch). The witch does not capture other pieces, but she can be captured. Although pieces are not transparent to the witch, she is very agile; she combines the movement of queen, knight, and can jump orthogonally and diagonally two squares. Transparency of a piece means that other pieces can move, attack, and capture right through the piece.
The pawn may be within her move set, but that doesn't mean the pawn's transparent. Only pieces that are directly adjacent to her in the current position are transparent.
We can rewind if you like to prefer not to have the doubled pawns
I'd like that, queen in a pin 
no I can deal with doubled pawns
...... so is your move 2x3?
yeah
W(2,6)
W ,1,3
8. W(1,3) ... Q(1,5)
C ,3,3
There is a pawn there.
B(2,4)