The desktop app needs to read browser cookie databases and should reach for
the same Effect SQL client the server already uses rather than opening
`node:sqlite` by hand. Nothing about the client is server-specific, so it moves
to `packages/shared` and both apps import it from there.

Pure move plus import updates; the client itself is unchanged.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>