Im going to say if you booked it on AS and it gave you that option as a selectable choice from the list of one way flights then you are likely ok and dont have to go get bags. If you booked via the multi city feature then you may have to go get the bags. In any case best to ask the agent at checkin FWIW I tried doing some seaches for that route and that 3:25 flight doesnt show up as an option. 630am and 1130am are the only ones that show up
How you booked it has no bearing with regards to the baggage rule.
If the connection is +12 hours, they are only going to check the bag to the connection point.