A clears the bar, B just misses, are they different?

Strategy A has an estimated edge of $3.0$ bp with standard error $1.0$ bp ($z_A = 3.0$, $p \approx 0.003$, significant). Strategy B has an estimated edge of $1.9$ bp with standard error $1.0$ bp ($z_B = 1.9$, $p \approx 0.057$, just not significant). Someone argues A is clearly the better strategy because it is significant and B is not.

Test whether A's edge significantly exceeds B's, and explain why "one passed, one failed" is not evidence of a difference.