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The approach @Saurav_Raj suggested should be used after eliminating all the possible issues. Also, while fetching raw data, opt for hourly files instead of daily.
What is the daily traffic estimates provided at the time of creating new report suite? If it is more than a million, Adobe Infrastructure team takes time to allocate resources and activate the report suite.
You should use the out of the box Visit Number and create a segment like below: This will exclude any Visitor from report which had visit other than 1st Visit.
Adobe uses API calls to manage all the UI operations and one of my colleague did use those out of the UI to cater a critical Client requirement. But that requires way high effort.
Okay. My next step here would be to take a common page out of these reports and breakdown it by Content Type report with Unique Visoitors metric. It will show where the discrepancy is. Also, can you please share the definition of the segment "Projects - Content"?