Select records columns where a minimum date exists for pair of columns

I am having an sql view "data", which looks like the following:

I want to keep only the combinations of "COSTCENTER" and "KONTONUMMER" which have one or more entrries having "CALMONTH" >= 202301. The desired output would be:

Right now I am only able, to do it only for one column "COSTCENTER":

SELECT "t"."CALMONTH", "t"."COSTCENTER", "t"."KONTONUMMER", "t"."FIELDNM003"
FROM "data" AS t
INNER JOIN (
  SELECT "COSTCENTER"
  FROM "data"
  GROUP BY "COSTCENTER"
  HAVING MAX("CALMONTH") > 202301
) AS s ON s.COSTCENTER = t.COSTCENTER

You should identify any COSTCENTER and Kontonummer pairs that have at least one entry where "CALMONTH" >= 202301. After finding these pairs, join them with your table to retrieve all corresponding rows:

SELECT t.*
FROM mytable t
INNER JOIN (
  SELECT COSTCENTER, Kontonummer
  FROM mytable
  WHERE CALMONTH >= 202301
  GROUP BY COSTCENTER, Kontonummer
) AS s ON s.COSTCENTER = t.COSTCENTER
       AND s.Kontonummer = t.Kontonummer;

Demo here

If you are using MySQL 8 or higher, there is another way to do it using the window function MAX():

select CALMONTH, COSTCENTER, Kontonummer, FIELDNM003
from (
  select *, max(CALMONTH) over (partition by COSTCENTER, Kontonummer) as max_CALMONTH
  from mytable
) as s
where max_CALMONTH >= '202301';