With Apparatus, there is evidence to support (though no hard math to prove or disprove yet) delaying Zeal+Apparatus until after AW is finished. Apparatus gives no benefit to HoW, so using all 3 together leads to conflicting benefits.Your pull should look like
-1s: Pot
0s: GoAK
0s+: Zeal when available (DP proc)
10s: AW + Apparatus
You also need inquisition up before Zeal, which you didn't mention.