I have 3 measures to calculate active merchants in a given periods using DAX time intelligence. In addition to that, I need to also check that their first transaction (in FactTransaction) is in current relative year

Example:
For the New Active Merchants LM:
Take all the Active Merchants LM#
For these merchants, eliminate all those who do not have their first transaction/invoice in the current fiscal year (if calculated for any month in 2023 check their first transaction is in 2023, etc)

// base measure
# Merchant =
  CALCULATE(
    DISTINCTCOUNTNOBLANK(DimMerchant[MerchantHK]),
    FactTransaction
  )

// Last Month or Previous Month
# Active Merchants LM# = CALCULATE([# Merchant], PREVIOUSMONTH(DimDate[DateValue]))

// Last 3 months
# Active Merchants L3M# =
  CALCULATE(
    [# Merchant],
    DATESINPERIOD(DimDate[DateValue], MAX(DimDate[DateValue]), -3, MONTH)
  )

// Last 12 months
# Active Merchants LY# =
  CALCULATE(
    [# Merchant],
    DATESINPERIOD(DimDate[DateValue], MAX(DimDate[DateValue]), -12, MONTH)
  )

Table relationship:

Sample data:

1. DimDate (one to many to FactTransaction on DatePK)

2. DimMerchant (one to many to FactTransaction on MerchantHK)

3. FactTransaction (Main fact table where DimDate and DimMerchant have relationship)