"to layer" is correct and usable in written English.
You can use it to refer to the action of putting things in overlapping layers, such as when painting, putting on clothes, or building something. For example, "I started with an undercoat, and then I layered on two colors of paint to get the perfect shade."
Dictionary
Exact(60)
Continue to layer the rounds, spreading jam between each.
You never want to layer too much on it".
Now you are ready to layer the maqluba.
"I love to layer and combine fabrics, colors and trimmings".
Continue to layer in this order twice more.
however, visitors do have to layer up in all the clothes they own to attend.
"But now I'm thinking maybe I can do some pieces to layer or mix and match".
Then he began to layer the walls of his anteroom with photographs.
4 Start to layer your lasagne dish, starting with pasta sheets.
Shows for Days shows how Beane learned, forcibly, to layer the lachrymose with the laughs.
"You often leave a role feeling that there is another facet to layer in".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com