Do or does: “Stative verbs show a state of being that does/do...”

I read the sentence 'Stative verbs show a state of being that does not show qualities of change' on Grammarly.

I'd expected do instead of does, in the sentence. But by this, my understanding is that, the intended subject of a sentence is solely depended on the third person singular present. So if I wanted to make stative verbs the subject of the sentence, then I should use do?

I've marked the finite verbs below and their subjects:

Stative verbs show a state of being that does not show qualities of change.

Stative verbs show a state of being that does not show qualities of change.

The verb "show" belongs to the subject "stative verbs" and is third person plural.