I thought "Nicht for Verbs, Kein for Nouns"
True for indefinite nouns.
Definite nouns take nicht, e.g. Ich esse den Kuchen nicht. "I am not eating the cake".
Demonstrative pronouns such as "that" and personal pronouns such as "him" are also always definite: Ich brauche das nicht. Ich sehe ihn nicht. "I don't need that. I don't see him." So they don't take kein, either.
You spelt "das" wrong. "dass" is a conjunction.