Question about Lounge Access.

I will soon be flying OSL-LHR-JFK soon, with the OSL-LHR segment on SAS (ticketed on BD codeshare) and then the LHR-JFK segment on AA.
Will my OneWorld Emerald status get me into the BA Lounge in OSL, as I am flying a OW marketed and operated flight later that same day, but just not right then and from the same city as the lounge?

The flights are on the same ticket/same PNR, if that matters.