There are limited ways to farm Weapon Essence in AFK Journey, though you can do it through everyday gameplay. Since you'll typically need hundreds of each to upgrade your EX Weapon abilities, you'll want to have plenty in your inventory for when the time comes. Here's how to farm each type.
AFK Journey Hero Essence Problem: How to progress
You should be farming blue and yellow Weapon Essences in AFK Journey. Also known as Tidal and Temporal Essences, respectively, these are the Essences you need to upgrade your EX Weapon to +5 and +15, which is usually the most you'll need.
Most of the above methods reward you with a small amount of Essence per day or per week, making the best strategy for farming Weapon Essence to be to play a little bit every day. If you can, play a few rounds of Dream Realm, spend your free Arena and Supreme Arena tickets, complete Guild Quests for guild activity, and clear floors of Legend Trial and Twilight Tower daily.
When you run out of Tidal Essence, you can purchase up to 40 from the Emporium for 300 Diamonds per 10 units, which is the same cost as one roll in Rate Up and All Hero Recruitments. Only purchase Tidal Essence with Diamonds if you have a Mythic+ character that benefits significantly from a +5 EX Weapon, such as Cecia, Thoran, or Scarlita. Otherwise, you can spend those Diamonds on Recruitment and farm Tidal Essence from other game modes. You will need 150 Tidal Essences to upgrade an EX Weapon to +5.