An application requires different date formats to be converted into one common date format.

Implement the function transform$\_$date$\_$format which accepts a list of dates as strings, and returns a new list of strings that represents dates in the format of YYYYDDMM$,$ where YYYY$,$ MM$,$ and DD are numbers representing year, month, and day, respectively. All incoming dates will be valid dates, but only those in one of the following formats: YYYYP DDp MM$,$ YYYY$/$MM$/$DD$,$ or MM$-$DD$-$YYYY$,$ should be included in the returned list.

For example, transform$\_$date$\_$format$(["2010/02/20","2016$p $19$p $12","7118-2012","20181224","20130720"])$ should return the list $["20102002","20161912","20121811"].$