Hello Chiklaine (1) I knew I should work, and yet I watched TV I think you can take the 'yet' as an adverb. Though OED and Webster do not mention anything about it, my E-J dictionary is classifying the 'yet' of the collocation 'and/but yet' as an adverb. I personally think it is not very useful for learners to know what part of speech such a word like 'yet' belongs to.
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