Nobody has published a cycle count, and at 6.67 mg/mL the concentration tells you what a wrong guess costs: a 0.1 mL aliquot holds 0.67 mg and every microlitre is 6.67 µg. Damage from freezing is not gradual attrition — it is concentrated at the phase transitions, where ice excludes solute and the unfrozen fraction climbs well above 6.67 mg/mL for as long as the transition lasts. Two slow cycles can therefore do more than four fast ones, which is why a cycle count is the wrong unit in the first place. The way to make the number one is to make it one: split at reconstitution into single-draw aliquots, label each with 6.67 mg/mL and the date, and never thaw a container you will refreeze.
The short version: aliquot before freezing, thaw slowly, never refreeze a thawed aliquot, and count your cycles.
Never refreeze a thawed aliquot. The whole point of aliquoting is that the aliquot is single-use, and refreezing it discards the benefit.
Thaw slowly at room temperature or in the refrigerator rather than in warm water. Rapid warming creates local thermal and concentration gradients that promote aggregation.
Cryoconcentration of solutes at the ice front is a well-documented mechanism in freeze-thaw damage to proteins and peptides.
Thaw slowly and never refreeze an aliquot.