Etymology
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ingrained (adj.)

"deeply rooted," 1590s, literally "dyed with grain "cochineal," the red dyestuff (see engrain). Figuratively, "thoroughly imbued" (of habits, principles, prejudices, etc.) from 1851. In reference to dyed carpets, etc., it is attested from 1766, from the manufacturing phrase in (the) grain "in the raw material before manufacture."

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Definitions of ingrained

ingrained (adj.)
(used especially of ideas or principles) deeply rooted; firmly fixed or held;
ingrained habits of a lifetime
Synonyms: deep-rooted / deep-seated / implanted / planted
From wordnet.princeton.edu