A new user in our group was unable to install cx_Oracle in their cloned ArcGIS Pro conda environment. Looking at cx_Oracle in the Package Manager, I see it's listed as having a dependency on "python >=3.9,<3.10.0a0". Since ArcGIS Pro 3.3 comes with Python 3.11, this would make it incompatible with cx_Oracle.

As mentioned on the cx_Oracle homepage, cx_Oracle is an outdated library that has been replaced by python-oracledb. The python-oracledb driver library should be made available to be installed through the package manager. For context, cx_Oracle has not been updated since November 2021.
That said, if adding python-oracledb to the package manager will take time, perhaps in the meantime the upper constraint on python<3.10.0a0 could be removed for the cx_Oracle library to allow it to be installed in an ArcGIS Pro 3.3 conda environment.
I first tried to submit this as a bug report, but I got a 404 error when I visited https://support.esri.com/en-us/contact/report-bug.