Recommended shelf life of frozen beef patty under below conditions

Dear all,
What would be the recommended shelf life of frozen beef patty , below are the processing steps.

1. Frozen beef blocks are defrosted in chiller for 5 days and then grinded.
2. Grinded meat is then made into patties, 100 g per patty.
3. Beef patty is stored in chiller for 3 days .( No preservatives are added)
   .
   Can we freeze the patty after storing 3 days in chiller?? If so what is the recommended shelf life after freezing,if the patty is stored in normal plastic container??

I will not suggest freezing it again as the risk are too high that after thawed! and comminuted for patty then chilled for some time the microbiological population is already high.

Thanks Roy for the usual support.