The technical term is “spiration.”
The Holy Spirit has one spiration, proceeding from the Father. As my illustration shows, the Spirit proceeds from the Father in one spiration, but flows through the Son.
This is the orthodox Catholic meaning of Filioque. The Eastern Orthodox who try to interpret Filioque to be some heretical dual spiration are not aligned to the mind of the Church.
At the Second Ecumenical Council of Lyon the Eastern Orthodox bishops accepted the Filioque as orthodox, and even sang the Creed with the Filioque three times over to prove their sincerity in accepting the orthodoxy of Filioque.
For various political and cultural reasons though, the Council failed in its goal of reuniting the East and West.