There is no specific Babylonian god named "Dugga" in the main pantheon. However, the term "dugga" appears in several related Mesopotamian names and place names in a way that suggests the meaning "good" or "holy".
Key terms and names related to "Dugga":
Eridu (Eri-dugga): The name of one of the most ancient and sacred cities in Babylonia, which translates from Sumerian as "Holy City" or "city of the good (god)". This city was the primary cult center for the god Ea(Sumerian Enki), the god of water and wisdom, who was considered the "good god" that protected people from demons.
Uan-dugga (Uannedugga): The name of one of the seven antediluvian sages (Apkallu) in Mesopotamian mythology, who were demigods created by Ea to bring civilization to humanity. His name means "who is endowed with comprehensive understanding".
Lugaldukuga: This is the name of a Mesopotamian god primarily known as a primordial, ancestral deity, often described as the father (or grandfather) of Enlil, the head of the Mesopotamian pantheon in some traditions.
Marduk's epithet: The Babylonian creation epic, Enuma Elish, mentions an epithet for Marduk, Dumudukuga, which some scholars link to Lugaldukuga.
A general term: In one instance in The Seven Tablets of Creation, the word "Dugga" is used in a context that may mean "dead god" or a god held in low regard by Marduk after his victory over Tiamat's monsters.
If you were thinking of a prominent goddess named Durga, she is a major deity in Hinduism, not the Babylonian pantheon. Some scholars have noted parallels between the warrior aspects of Durga and the Babylonian goddess Ishtar (Inanna in Sumerian), but they originate from different cultures.
