Walmart's ST house brand ATF+4 is licensed ATF+4 and carries official approval from Chrysler
The cheapest licensed ATF+4 is still licensed ATF+4
Anything on
this list is licensed ATF+4, and you can use it with no problem. So use the cheapest ATF+4 on that list. Although that CQA site looks fake, but they are a real company.
Chrysler is overly strict with ATF+4 approval. They require a specific Lubrizol add pack and a specific group III oil from one of three suppliers.
However, the best thing to use in an out-of-warranty transmission calling for ATF+4 is Redline C+ even though it's not licensed. Redline uses the same add pack as licensed ATF+4 but a better base oil. Chrysler/CQA won't license it because it's not thje exact base stock from their exact suppliers.