Spell Slots with Warlock Multiclass

Multiclass page says the following:

"Spell Slots. You determine your available spell slots by adding together the following:

• All your levels in the Bard, Cleric, Druid, Sorcerer, and Wizard classes
• Half your levels (round up) in the Paladin and Ranger classes
• One third of your Fighter or Rogue levels (round down) if you have the Eldritch Knight or Arcane Trickster subclass.

Then look up this total level in the Level column of the Multiclass Spellcaster table. You use the slots for that level to cast spells of an appropriate level from any class whose Spellcasting feature you have."

Warlock is not listed in the classes above.  If I have a level 8 bard, and multiclass into warlock, what total level should I look up in the multiclass spellcaster table?  Or do I just have the available spell slots for a level 8 bard plus the available spell slots for a level 1 warlock?

There is also the following statement, which makes it seem like the spell slots stay separate for level 8 bard and level 1 warlock:

"Pact Magic. If you have the Pact Magic feature from the Warlock class and the Spellcasting feature, you can use the spell slots you gain from Pact Magic to cast spells you have prepared from classes with the Spellcasting feature, and you can use the spell slots you gain from the Spellcasting feature to cast Warlock spells you have prepared."

Quote from Ashaman126 >>

Or do I just add the available spell slots for a level 8 bard plus the available spell slots for a level 1 warlock?

This.

The Warlock class doesn't provide a "Spellcasting" feature, so the section on having multiple classes with the Spellcasting feature doesn't apply to it. Warlocks have a "Pact Magic" feature with spell slots that work quite differently from "Spellcasting" spell slots, and they're tracked separately.

If you scroll down a bit further, you'll find this, which is also important to note:

Pact Magic. If you have the Pact Magic feature from the Warlock class and the Spellcasting feature, you can use the spell slots you gain from Pact Magic to cast spells you have prepared from classes with the Spellcasting feature, and you can use the spell slots you gain from the Spellcasting feature to cast Warlock spells you have prepared.