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Fast Formula Entry Validation to restrict 10 days request per year

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We have an absence type of 'paid sick leave' (qualification plan) which connected to few absence reasons. One of the reason is 'Sick leave - without doctor certificate'.

We want to limit the request for submissions related to the above reason to 10 days per year.

I thought about two possible solutions:

  1. Use GET_VALUE_SET - the problem is that it seems that I cannot use group by and sum function in the value set.
  2. Use array to loop through the requests which have been submitted this year.

Regarding the option two, I tried the below formula but it doesn't work for me.

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