What about :

SELECT
  PROJECT."PRIMARY_PROJECT_CODE" AS COL0,
  COUNT(PHYSICAL_COPY."ID") AS COL1
FROM
  PROJECT
  LEFT JOIN PROJECT_CODE_DESCRIPTOR ON PROJECT_CODE_DESCRIPTOR."PROJECT_ID" 
= PROJECT."ID"
  JOIN COPY_CLASSIFICATION ON COPY_CLASSIFICATION."CLASSIFICATION_CODE" = 
PROJECT_CODE_DESCRIPTOR."PROJECT_CODE"
  JOIN COPY ON COPY."ID" = COPY_CLASSIFICATION."COPY_ID"
  JOIN PHYSICAL_COPY ON PHYSICAL_COPY."COPY_ID" = COPY."ID"
WHERE
  ( (PROJECT_CODE_DESCRIPTOR."PROJECT_ID" IS NOT NULL) and
    (PROJECT."ASSIGNMENT_STATUS" != 'UNASSIGNED') and
    (PHYSICAL_COPY."IS_MARKED_DELETED" = 0) and
    (PHYSICAL_COPY."IS_RECYCLED" = 0) )
GROUP BY
  PROJECT."PRIMARY_PROJECT_CODE"

Regards,
Arno 

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