Here are the regulations of the Icelandic competitions: https://www.ksi.is/library/Skrar/Log-og ... 02023).pdf
Article 23.1.8.1 discusses the split into top six and bottom six after the double round-robin. Both parts will be played as a single round-robin, and the matches are then listed.
At the end, it says "Keppni sex efstu liða í síðari hluta móts í efstu deild ræður lokaniðurstöðu um sæti 1.-6. og
keppni sex neðstu liða í síðari hluta móts í efstu deild ræður lokaniðurstöðu um sæti 7.-12.", which translates to "The competition of the top six teams in the second half of the tournament in the top division determines the final result for places 1-6. and
the competition of the bottom six teams in the second half of the tournament in the top league determines the final result for places 7-12."
So there is no more playoffs after that.
Which means Vikingur Reykjavik is the first team to qualify for Europe for the 2024/25 season.