You will not be graduating in July with your friends. If you submit your resit paper, it can take up to 3 working weeks to be marked. Then you will need to wait for the next exam board meeting - probably in August/Sept before the mark can be approved by the exam board. Thus you will graduate in Nov.
In exceptional circumstances, the Chair of the exam board - the UG programme director - can take 'Chair's action' outside of the exam board but this has to be approved by the external examiner and the department's academic compliance team. Frankly, if you are having to resit the assessment for plagiarism then this would not count as exceptional circumstances. You cheated, you got caught and are having to redo the work. Why should a university bend over backwards and rush its processes just so you can graduate with your mates?