Maybe I should add that I called JAL and they only have inventory on AY801 (07:45) and AY807 (13:00), not on AY803 (08:20).
If I want to take AY803 I have to buy it separately I was told. But on their homepage they sell tickets where JL47 connects to any of the above flights.
So at least 6 hours wait at HEL or trying to make the tight connection.