Why are European countries interested in the Indo-Pacific?

The Indo-Pacific has become a new conflict zone these days, with China on one side, and other countries like Japan, Australia, and India on the other side.
Organizations like AUKUS and the Quad have been developed.

I can understand the US's interest in the Indo-Pacific, as it wants to contain China and retain its status as the sole superpower in the world.

However, Europe is also taking interest in the Indo-Pacific. European countries have increased co-operation with Asian allies - for example, UK to Australia through AUKUS, and France is getting quite close to India. Also, NATO has declared China a security threat. Lithuania just stirred up some conflict with China regarding Taiwan.

My question is, why are European countries taking interest in the Indo-Pacific conflict? What do they gain from it? What do they lose if they don't concern themselves with it? They could reap benefits from economic co-operation with China - after all China is not at their doorstep unlike Russia so they are safe.