What hypothesis test to use for partially paired non-normal data

I have two groups control and test. For both groups data was collected at two time points : One is Baseline and other End of Study. Data is not normally distributed. However, only 50% of data is available for End of study as compared to baseline.
So to compare my baseline data with End of study data… it is mix of unpaired and paired data and also it is not normally distributed.
I want to know which statistical test can I use?

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