All perfect praise be to Allah, the Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His Slave and Messenger.
This Hadeeth was classified as authentic by Shaykh Al-Albaani in his classification of Sunan An-Nasaa'i. Shaykh Al-Albaani was well known for his prominence in the science of Hadeeth and his role in the classification of the Ahadeeth. Prominent Scholars of his time such as Shaykh Ibn Baz, Shaykh Ibn 'Uthaymeen and others testified his competence.
What counts (in the authenticity of the narration) is the person who assessed the Hadeeth and classified it. Regarding Dar as-Salam publishers, we have no information about those who work with them or cooperate with them in this regard (classification or narrations), and as a rule, one can only judge if we know those who verify the classification of Ahadeeth.
Allah Knows best.