Grammar of the yet in the sentence [closed]

I am reading a topic on The Economist, and crossing to this sentence:

Yet legislation encoding this deal has yet to be written, much less passed

I usually see the usage of yet as the contradiction, when putting at the beginning of a sentence, as the following example:

It was raining hard. Yet she didn’t put on her wellington boots.

Yet on the first sentence seems not to follow this convention.

Solution 1:

In the first quoted example sentence, which reads

Yet legislation encoding this deal has yet to be written, much less passed

the first Yet does have the meaning of being a "contradiction", as in however (meaning on the other hand) and this usage employs Merriam-Webster definition 3 for the word yet.

The second yet has the meaning of up to now; so far and employs Merriam-Webster definition 2a(1) for the word yet.

In your second quoted example sentence, the word yet employs Merriam-Webster definition number 3.

In every usage here, the word is an adverb.