Keep the engine's state in SQLite, not Postgres

One process owns this database — the image has run a single uvicorn
worker for that reason since the four-engines bug — so a file beside the
flows is the honest shape for it, and it is what lets `fluksio serve`
need no infrastructure at all. Live values, node execution and the work
queue never came here anyway; what does is a rollup a minute at a time,
a row per cascade and the run history, and WAL keeps the readers going
while that one writer works.

DATA_DIR is now the one setting that moves everything an installation
keeps; the rest derive from it and the images still spell theirs out.
The schema is prepared in-process at startup, so the prestart service is
gone, and the ten Postgres-only revisions collapse into one portable
baseline.

Three things only worked because psycopg was casting for us: a token's
subject arriving as a string where the column is a UUID, `greatest`, and
`date_bin`. The timestamps needed a column type of their own — SQLite
stores no offset, and a naive datetime read back either raises against an
aware `now` or serialises as local time.

Postgres stays in the stack only for Umami, behind the analytics profile.

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

backend/pyproject.toml

@@ -15,7 +15,6 @@ dependencies = [
     "jinja2<4.0.0,>=3.1.4",
     "alembic<2.0.0,>=1.12.1",
     "httpx<1.0.0,>=0.25.1",
-    "psycopg[binary]<4.0.0,>=3.1.13",
     "sqlmodel<1.0.0,>=0.0.21",
     "pydantic-settings<3.0.0,>=2.2.1",
     "sentry-sdk[fastapi]<2.0.0,>=1.40.6",