Cured zombie villagers don't drop picked up items

The bug

A zombie villager picked up items dropped by a fellow player, specifically armor. The villager had been cured, and the armour was lost.

How to reproduce

1. Summon a zombie villager that can pick up items

   /summon minecraft:zombie_villager ~ ~ ~ {CanPickUpLoot:1b}
   

2. Give an item to the zombie villager
3. Cure the zombie villager (command below for alternative, faster method)

   /data merge entity @e[type=zombie_villager,limit=1,sort=nearest] {ConversionTime:1}
   

   → Notice the items are gone

The fix

Call the method EntityLiving.dropEquipment(wasRecentlyHit, lootingModifier) in EntityZombieVillager.finishConversion().