The DNA on/off state lifts no further than it already sat: the Context
tab's `dna` state now feeds the Context browser through a controlled
pair of props (dna + onDnaChange), so toggling either card's switch
moves the other — the trend bars and the browser's composition bar
become fingerprints together, and drop back together.
The browser stays self-contained where no parent links it: the pair is
controlled only when BOTH props arrive, a lone `dna` prop is ignored,
and the /context modal keeps its mount-local toggle (the established
optional-seam idiom).