• diṣṭam — fate
  Past participle of √diś, 'that which has been directed, appointed.' In Bhāgavatam usage diṣṭa is not blind destiny but the Lord's own ordained outcome — the Bhāgavatam uses the same word for the cosmic plan. Balarāma's recognition is that Kṛṣṇa's plan is already running through this duel.
• anumanvānaḥ — deciding, concluding
  Present participle of anu + √man. The verb of inward judgment — Balarāma weighs the situation and concludes inwardly. The grammar shows the Lord's discernment in real time: the duel cannot be stopped, the larger plan is already at work, the elder brother withdraws.
• dvāravatīm — to Dvārakā
  Accusative of Dvāravatī, 'the city with many gates' — the Yādava capital. Going dvāravatīm yayau is the standard verse-shape for Balarāma or Kṛṣṇa returning home. After the long tīrtha-yātrā and the Kurukṣetra detour, He goes back to His own household.
• prītaiḥ jñātibhiḥ — by delighted family members
  Compound: prīta (delighted) + jñāti (relative), instrumental plural. The grammar makes the welcome an active joy — they are not merely present, they are prīta. The Lord goes home to a household whose mood is itself a kind of sacrifice.

• Where am I lingering after my counsel has been refused?
• What does graceful withdrawal look like in my situation?

Bhagavān argues, the warriors refuse, and Balarāma simply concludes diṣṭam — it is fate, the long arrangement set up by Kṛṣṇa Himself for the unloading of the earth. He turns from the field and goes home to Dvārakā, where Ugrasena and the family receive Him joyfully. The Lord does not stay where He is not wanted; He returns to where He is loved. Vaiṣṇava etiquette in one stride.