* Minor quibble: Don't think the "with" is needed. You inculcate a skill or quality (active), or a skill is inculcated in someone (passive). So "secretly inculcate tech skills" reads more normally to me.
Believe it or not I checked the definition first to see whether I could use the word that way, because I wanted the symmetry of "with" in both clauses. It turned out that not only was 'with' valid, it seemed to be the only way to use the word in the sense that I meant it—at least according to this link, which I do not recommend clicking on without an ad blocker:
Today I learned! It's rare enough to read it, and I wasn't aware of the secondary definition, or the fact that the meaning was usually coupled with the preposition, if present. Thanks for the education!