I can see that your Arc Pro layers is pointed to a file server beginning: \\gisprddts
Two things to look at:
You clearly have permissions to be able to read that data. The ArcGIS Server will be running under a different user account, i.e. "Not you". Does the server have read permissions to the file server or the folders under it. It could be permissions related.
Also, because you have the file geodatabase open you will have file locks present. ArcGIS Server 'may' not like that. You may be better to create an SD file package. Close ArcGIS Pro, and then upload it through Server Manager so that the locks are cleared.
Scott Tansley
https://www.linkedin.com/in/scotttansley/