Calculate number of tickets per month and charge a certain rate if it exceeds a threshold

Trying to wrap my head around this.

I have two rates:
$10 - for less than or equal 5 tickets per month per task
$20 - for more than 5 tickets per month per task.

I understand how to calculate that with a simple CountIfs formula but the complication here is that I need to apply the $20 rate for all the tasks in that month if it exceeds 5. so some sort of Index/Match is needed.

I attached a spreadsheet with the desired result and initial attempt.

Thank you!

Try this in F2:

=IF(COUNTIFS(A:A,A2,B:B,">"&EOMONTH(B2,-1),B:B,"<="&EOMONTH(B2,0))>5,20,10)

Edit.

Question. How would I account for duplicate days? (don't count duplicate days)

Try this:

in D2:

=if(COUNTIFS($A$2:A2;A2;$B$2:B2;B2;$E$2:E2;E2) = 1; maxifs($D$1:D1;$A$1:A1;A2;$E$1:E1;E2)+1;"")

in F2:

=if(maxifs($D$2:$D$16;$A$2:$A$16;A2)>5;20;10)

Change ; to ,