1 each per day; looks like reskin of Warlock feature Mystic Arcanum
In my copy of Volo's, I read this under Warlock of the Fiend:
1/day each: feeblemind, finger of death, plane shift ( pg. 219)
Translation: each day cast one feeblemind, one finger of death, and one plane shift. Given the level of those spells, seeing it as a reskin of Mystic Arcanum it makes sense.
Mystic Arcanum
At 11th level, your patron bestows upon you a magical secret called an
arcanum. Choose one 6th‑level spell from the warlock spell list as
this arcanum. You can cast your arcanum spell once without expending
a spell slot. You must finish a long rest before you can do so again.
7th‑level spell at 13th level, one 8th‑level spell at 15th level, and one 9th‑level spell at 17th level. You regain all uses of your Mystic Arcanum when you finish a long rest. (SRD, p. 48)
The NPC's "1 each day spells" map to the Mystic Arcanum Warlock class feature except that a PC warlock would have one each of levels 8, 7, 6 (if 8th was their highest level spell) and the NPC's three spells work out to 8, 7, 7. As it's an NPC and not a PC, that's close enough; there are a lot of other "similar but different" NPC to PC comparisons.
- This Warlock is a 17th level spell caster, so in theory it could have
a 9th level spell as a Mystic Arcanum ... again, not a perfect "fit"
between PC feature and NPC feature.
As with most NPC's these warlocks are innate spell casters. If you look at the at will spells that are listed next to those three spells, they look at lot like eldritch invocations: alter self, false life, levitate (self only), silent image
Cantrips and Spell slots are listed separately.