Transition months in a technical week

[Pandu]

When the month changes, a calendar week can be split into two technical weeks: TWa (part of the week in the previous month) and TWb (part of the week in next month)

In a technical week, we would like to separate data based on months.
For example: Transition week - 5th week of 2023 have 2 days from Jan month(30th & 31st) and 5 days from Feb month(1st to 5th)

Data needs to be separated based on week along with month but should not aggregate the whole week data in a transition week as shown below.

Please suggest us the appropriate code for the technical week issue.

[Kurt_Bremser]

Post example data in a data step with datalines, not in pictures.