With some terming this as a “hybrid model,” it would be possible to term this as a social democratic form of governance. That being said, the French model has more socialist elements than many other nations that may be described similarly.
The Economic Freedom World Index, a metric by which the freedom of the market within a nation may be adjudged, gives France an overall score of 65.9.
This places it as the 52nd nation in terms of market freedom in the world.
This would thereby show that while the economy may indeed be called capitalist, it has a heavy indent of socialist policies.
Capitalism is actually free trade policies. Socialism promotes Government is number 1 and freedom is behind that. For example you will be treated by state doctors. You will purchase food approved by the state. You may live in a building controlled in rent by the state.
A good example here in America is Biden has taken charge of the products allowed by automakers. Biden took charge of oil drilling.