feat: db connection and migration

server/db/migrations/0001_init.sql

@@ -0,0 +1,22 @@
+-- ClaudeDo Online Inbox — initial schema.
+-- Mirrors the desktop's Idle task backlog. Idempotent.
+
+create table if not exists lists (
+  id         text primary key,            -- GUID supplied by the desktop, reused verbatim
+  name       text not null,
+  updated_at timestamptz not null default now()
+);
+
+create table if not exists tasks (
+  id          text primary key,           -- GUID; shared id space (web + desktop)
+  list_id     text not null references lists(id) on delete cascade,
+  title       text not null,
+  description text,
+  source      text not null,              -- 'web' | 'desktop'
+  consumed    boolean not null default false,  -- web->desktop handoff flag
+  created_at  timestamptz not null default now(),
+  updated_at  timestamptz not null default now()
+);
+
+create index if not exists idx_tasks_list_id on tasks(list_id);
+create index if not exists idx_tasks_unconsumed on tasks(consumed) where consumed = false;