Still a bit far off but we are going there.
If you really want a spoiler:
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Josh being an omega revelation comes first before Chase being Pete's Dad. Specifically it's almost at the end (probably 2nd to the last chapter or last chapter) of the main story that it's revealed that Chase is Pete's Dad & that the whole sleeping with the dog is not real. We still have conflicts to face & of course Josh being an omega before we get there.
For reassurance, there are side stories which are really good.

ITS BACK BABYYYYYYYYYYYYYYYYYYYYYYYYYYY
who read the novel and can tell me how close we are to the reveal of chase being a father