Without bleaching the hair first, you can't use a box dye to make your hair a lighter colour.
So using a dark brown will keep your hair the same shade of black, but its the blue tone you want to get rid of.
Anything described as 'warm' usually means there are golden, copper or red tones in the dye.
Red is at the opposite end of the colour spectrum to blue, so it should neutralise the blue.

Without the red in it, using another black could just make the hair even darker, but still have the blue.
Its not the shade you want to alter, it the tone.

You could even try one of those semi permanent wash in toners you get in sachets.