Buddha's Tear Root is one of six mystic art upgrade materials, there are two ways to get Buddha's Tear Root.
The first way is to gather Buddha's Tear for a chance of getting Buddha's Tear Root. Here are Buddha's Tear exact location on the map:

Buddha's Tear spawn in the Sudara Land area of Qinghe, and here’s how it look in-game:

Note: It’s not guaranteed to get Buddha's Tear Root all the time but we can increase the chance of getting it by:
Eat Golden Jade Soup from Fuling Shop:

When eating this food, you’ll gain 20 minutes of higher chance of gathering Buddha's Tear Root, so always eat this food first before you start gathering.

The second way is to buy Mystic Skills Breakthrough support box from from Season Shop and Battle Pass Shop:

You can buy 10 Mystic Skills Breakthrough Support boxes per week from Season Shop. Costing you 5000 Jade Fish.
You can buy 3 Mystic Skills Breakthrough Support boxes per week from Battle Pass Shop. Costing you 15 Battle pass tokens.
You can get a total of 39 Buddha's Tear Root from this method, but we don’t recommend getting all Buddha's Tear Root as you will need other material for other mystic art as well.
In conclusion, To get Buddha's Tear Root, you need to eat Golden Jade Soup from Fling shop, start gathering Buddha's Tear, if you’re lucky you might get Buddha's Tear Root, or you can just buy it all from both Season shop and Battle pass shop.
Other Mystic Art Upgrade materials:
Beauty's Plume | Vicious Fruit |
Buddha's Tear Root | Jade Tower Pearl |
Jasmine Stamen | Frost Mushroom Mycelium |
End.

Beauty's Plume
Vicious Fruit
Buddha's Tear Root
Jade Tower Pearl
Jasmine Stamen
Frost Mushroom Mycelium