I just laced a rear wheel: Odyssey Hazard Lite rim, C5 hub, 3-cross, 36 spokes, 186 mm on both sides.

I've checked the lacing several times and I'm confident it's correct (spoke direction, crossings, drive/non-drive side).

The spokes are only lightly tightened so far (about 3-4 turns each). Some nipples sit deep in the rim and some already stick out noticeably.

In the side view photo, the red arrows mark nipples that don't reach the rim surface and the green arrows mark ones that already stick out.

Is it normal that the spokes are so far apart (in height)?

What's the right way to bring them all to the same height and true the wheel correctly?

Thanks!