If you were assigned to and could have worked from your employer's NY office in 2022, but instead chose to work remotely from your NJ home, then you're correct that the "convenience" rule would apply, and your earnings would be subject to both NY and NJ taxation.
Once you are assigned to your employer's CT office, you would be subject to CT income tax only on earnings from days that you physically worked from within CT. As @rjs said earlier, if in 2023 you will never physically work within CT, then for 2023 your employer should withhold NJ taxes only. If your employer will not withhold NJ taxes, then you must make quarterly estimated tax payments to NJ.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
