In your illustration, I see a primary AA flight, nothing operated by Alaska.

That's a good thing, and as you're flying into MCO on a oneworld airline and AA should protect your connection to a flight going on to LAX.

Unfortunately, from reading your post, it looks like you purchased the ticket from JJ / TAM, so they are the ticket "owners" (ticketing party, as 3cforme states above)?and therefore the ones who can change it; AA can not do much about changing their ticket. (If you had bought the ticket from an agency, you'd have a similar challenge - you would have to work with ghe agency to get the ticket changed, AFAIK.)

Ask JJ if they have a liaison to AA who can verify the flight schedule change so they can adjust the ticket.