when it rains it really rains and the ground water covers the ground entirely it's still gets wet as the rain water runs through and the bedding directly above the ground thus gets wet. it's not wet as in pooling tho
My concern mostly was if the damp bedding would be a cause for concern health wise.
Your concerns are valid. Wet droppings tend to release ammonia, which can cause respiratory problems for both you and the birds and can even cause mild chemical burns to their feet if the concentration gets high enough. The condition is called "scald."
One of the problems with concrete is it can act as a moisture trap if the surrounding ground gets damp enough. I've got similar weather in Georgia: in the srping and fall the rains are often torrential and last for days. The ground here is mostly clay and gets completely soaked in the rain. When it dries out it's packed like concrete and actually cracks.
I struggled for over a year getting a run set-up that didn't turn into a reeking soup in a month or two. My run is on a slight incline and one of the problems was water piling up on the side, soaking the lower frame of the run and the bedding.
I ended up jacking up the run and slipping concrete pavers underneath, with some slight gaps along the sloped sides of the run. In those gaps I put some PVC piping to let the water drain across when the rains came.
Inside the run I put a layer of gravel to act give some "air gap" between the ground and the bedding and further facilitate cross -drainage.
I use "pine bark nuggets" which are largi-sh wood chips made from pine tree bark. The bigger chunks are less prone to staying water-logged than wood shavings. The wood chips are an average of 3" deep.
So far it's worked pretty well: the smell is minimal, and the birds have learned they can find bugs and the occasional earth-worm in the deeper, so they regularly dig through them and turn them. And I just top off with fresh wood chips every month or so.
The smell is minimal and the setup stays dry except in the heaviest of rains, at which point it just gets merely damp, particularly near the "upslope" edge.