All economies are mixed, what determines mode of production is the principle aspect of the economy. In social democracy, the large firms and key industries are still privately owned, with perhaps some little nationalization, and the state is dominated by the wealthy.
Social Democracy is an ideology supporting capitalism, at best it is center-right. Welfare capitalism is still capitalism.
Mixed economy is the word for it.
https://en.m.wikipedia.org/wiki/Mixed_economy
All economies are mixed, what determines mode of production is the principle aspect of the economy. In social democracy, the large firms and key industries are still privately owned, with perhaps some little nationalization, and the state is dominated by the wealthy.