Bruxo Hexblade: Você ganha o bônus de Hex Warrior com uma arma versátil sem Pact of the Blade?

Eu sou um arqueiro de primeiro nível Warlock, Hexblade do Xanathar's Guide To Everything. Minha pergunta é:

Uma arma com a propriedade Versatile funciona com a habilidade Hex Warrior sem o Pact of the Blade se eu lutar no modo de duas mãos?

Hex Warrior (XGtE 55,56):

The influence of your patron also allows you to mystically channel your will through a particular weapon. Whenever you finish a long rest, you can touch one weapon that you are proficient with and that lacks the two-handed property. When you attack with that weapon, you can use your Charisma modifier, instead of Strength or Dexterity, for the attack and damage rolls. This benefit lasts until you finish a long rest. If you later gain the Pact of the Blade feature, this benefit extends to every pact weapon you conjure with that feature, no matter the weapon's type.

Versátil (PHB 147):

This weapon can be used with one or two hands. A damage value in parentheses appears with the property—the damage when the weapon is used with two hands to make a melee Attack.

Duas mãos (PHB 146):

This weapon requires two hands when you Attack with it.