Aer lingus flight on AA ticket and baggage

Hey everyone, I have a quick question I booked a ticket on American. It starts on AA metal, however it connects in London on BA to Paris. The first portion isn't an issue as my bags will already have been checked from the states. However, the return starts on Aer Lingus in Paris and connects in Dublin. When I pull up my Aer Lingus portion on their website, it states that I don't have any bag allowance.

Im a AA Platinum so I assumed my two bags allowance should carryover. Especially considering that the ticket is issued by AA. From Dublin back to the states it's on AA metal as well its just this one leg that i'm stressed about. I still have enough time to change my ticket to something else (within the 24hr purchase) but if this is just a default thing Aer lingus says, and somebody has experience with this. Please let me know so that I can stop worrying about it, i don't want to get to Paris on my return and be toldAer Lingus can't honor my bag and carry on allowance due to my ticket being a basic economy ticket even though it was bought from AA's website.