• abhipretya — ascertaining
  Abhi (toward) + pra + √i — to come to a settled understanding. Akrūra does not guess Dhṛtarāṣṭra's mood; he has read it precisely. The Bhāgavata's emissaries are diagnosticians, not couriers only.
• yādavaḥ — the descendant of Yadu
  Akrūra is named here by clan — emphasising that he carries Yadu-kula identity into both Hastināpura and Dvārakā, weaving the two cities together by his very person.
• samanujñātaḥ — given permission to leave
  Sam (together) + anu (after) + √jñā. Formal Sanskrit for the moment a guest is released by the host's consent. Even in a corrupted court Akrūra preserves the protocols — a Gauḍīya theme: bhaktas are courteous even where dharma has been violated.
• yadu-purīm — to the city of the Yadu dynasty
  Dvārakā. Kṛṣṇa's seat. The chapter ends by sending Akrūra back toward the city where the next phase of the līlā — the report — will land in the Lord's own ear.

• Where do you continue to push when the appropriate response is to take permission and leave?
• How do you discern when more conversation will only entangle?

Akrūra reads the room one more time, takes his leave with quiet ceremony, and turns his face back toward Dvārakā. The mission's outer shape is complete; the inner load — what Kṛṣṇa must be told about this court — rides home with him.