I'm a Lumberjack and I'm Okay (L)

At 10 allowances a run, this leve's 4,023,140 EXP works out to 402,314 EXP per allowance, the best of the 3 Lv 56 Blacksmith Grand Company leves that record EXP: the runner-up manages 180,139 EXP, 55% less.

Across that rung the return runs from 53,496 EXP to 402,314 EXP per allowance — 3 distinct figures spanning 652%, so the wrong pick leaves 348,818 EXP of the allowance unspent.

On whether to wait: the best Lv 58 Blacksmith Grand Company leve returns 446,249 EXP per allowance, 11% more than the best on this rung, while the Lv 54 rung behind tops out at 260,272 EXP.

At Lv 56 this data holds 54 leves paying EXP across 3 categories: the 27 Grand Company ones average 195,640 EXP per allowance, the 3 Fieldcraft ones 1,032,386 EXP and the 24 Tradecraft ones 390,755 EXP, which puts this leve 106% above its own category's average.

Titanium Battleaxe ×3 is a Lv 57 Blacksmith recipe, 3 steps deep through 7 intermediates, costing 189 units of raw material and 210 crystals over 3 crafts.

Handing that in returns 21,286 EXP and 28 gil for every unit of raw material the order swallows, and the tree needs Alchemist, Blacksmith and Carpenter.