All 8 Uses

nevertheless
in
Here, There be Dragons by Owen
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John thought this was a lie, but he appreciated the gesture nevertheless.†
Chpt 1.1 *

nevertheless = despite that (used to connect contrasting ideas)
While he has had no previous standing with this body, he has nevertheless come to be known by most of you..."...as the Winter King."†
Chpt 2.6
Nevertheless, the Winter King spoke with a timbre of authority that would brook no opposition.†
Chpt 3.9
In time I came across a shipwreck—a ship from your world, which nevertheless had that touch of divinity.†
Chpt 3.11
Nevertheless, surprisingly, it took them a considerably shorter time going down.†
Chpt 4.16
But we're going to do what we can, all of us, nevertheless.†
Chpt 5.18
Nevertheless, they had managed to make their way around the entirety of the east side and had drawn up alongside the Black Dragon itself.†
Chpt 5.20
After a time, she extended her hand to touch him, to say something to change his mind, to reassure him that what he was going through, while bitter, and a harsh lesson to learn, was nevertheless just a part of growing up.†
Chpt 6.22

Definitions:

(1) (nevertheless)
despite that

Based on idea 1 we might not expect idea 2, but this is a way of saying that even though idea 1 was just stated, we still have idea 2. Synonyms include in spite of that, despite that, nevertheless, nonetheless, on the other hand, in contrast and but.
(2) (meaning too rare to warrant focus)