The Smålanders led 2-0 in matches, lost to 2-2 after two straight Rögle victories - and have now connected the grip again.
Now Växjö has everything in its own hands before the fifth meeting in Växjö on Monday.
The guests started best in Catena arena and took the lead with 1-0 halfway into the first period, before Rögle struck twice in the second.
Anton Bengtsson scored 1-1 after only 33 seconds and seven minutes later Niklas Hansson completed the turnaround when he sent in 2-1 in powerplay.
- I tried to get it in the box, it took on some leg and changed direction.
These are small margins, said Rögle's Niklas Hansson to C More in the second period break.
Växjö's Richard Gynge equalized to 2-2 barely six minutes into the third period and the match went to extra time, despite the guests having the chance to decide in regular time after Rögle went on an expulsion due to too many players on the ice with less than two minutes left.
In extra time, Pontus Holmberg decided after just one minute.
CLIP: The small crowns fixed World Cup bronze (7 May 2021)
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Fabian Lysell became a two-goal scorer for Sweden against the USA.
Photo: Bildbyrån