If a prostration verse is recited inside prayer, and the worshipper performs the standard bowing (Ruku') of the prayer immediately after (within 3 verses), can the Ruku' satisfy the Tilawah prostration?

No, a separate prostration is always mandatory.
Yes, performing the Ruku' satisfies the obligation, provided the worshipper intends it.
It only satisfies it if they are praying in a ship.
It satisfies it only if the prayer is voluntary (Nafal).