Filter rows based on dynamic data range (slicer) and conditions

I have table[id], table[category], table[date]

for each id it can have many possible categories values a,b,c, d,

ID  CATEGORY  DATE

1   'a'                1/15/2021

1   'b'                1/02/2021

2   'a'                3/04/2022

3.  'c'                 5/07/2023

i want to filter these rows with date range with table[date] but with the twist that when for each id

if category = 'a' and category = 'b' to keep only the latest of the 2 between the range of of the dynamic date slicer (table[date])