Right now probe passes are compiled one by one, since passes are only
requested if `materials.queued_shaders_count` is 0 and requesting a
pass will increase the number.
This splits the logic into 2 functions, one for checking if sync is needed
and another to check if pass shaders are needed.
This allows compiling the shaders in parallel.
Pull Request: https://projects.blender.org/blender/blender/pulls/122799
e031fbe2f3