Detail at edge of deck

We're replacing the built-up beam at the edge of this deck. It's rotted through. The flashing was a joke. It's an exit balcony, and this is purely functional/safety work for an HOA.

The seams between the last couple of boards collect water, because the seam sits on top of the beam (actually on top of the flashing on top of the beam). I'd appreciate any good ideas about how to get water to drain out of there? The beam is about 18' long, and as you can see, there are stairs up to the deck, at one end of the beam.

We're only replacing the decking as made necessary by our repair of the beam. I'm wondering about cutting some wide kerfs sideways across the bottom of the last few deck boards. No concerns about the effect on strength (because they're just sitting on the beam). But there's a huge amount of debris from pine trees above, and any weep cuts may just clog up with rotting debris.

The beam will be replaced with the same size built-up beam, only PT this time. I have no ability to change that.

Any advice will be appreciated.

Thanks,

Bob

Edit: The pix show the end where the stairs are, but it's a concern all along. The built-up beam is five pieces of 2x10 PT plus one RW fascia.