Many apologies if this has been asked before, but I have seen a number of threads referring to changes in policy re. checking luggage through on separate bookings, but can't find specifically what I'm looking for.

I'm flying business class on BA from JFK to DUB via LHR. I then have a flight on EI, with a BA codeshare flight number–purchased through BA–from DUB-MAN. The JFK-LHR-DUB and DUB-MAN flights are on different bookings.

Will I be able to check my luggage through to MAN, or do I have to collect it at DUB and re-check to MAN?