Pure checks and corrections for a generated admin entity config (BOU-567).

The model is asked for the right types and relations and does not reliably
give them, so what the project already knows — its migrations — decides the
types, and what the description asked for is checked before anything is
written.

Pure context-extraction functions for AI features.

FC/IS rule: file I/O happens in the caller (shell layer).
These functions receive already-read content as strings/maps
and transform it into context strings for prompt building.

Pure response-parsing functions for AI outputs.

FC/IS rule: no I/O here — receives raw AI response strings,
returns parsed data or error maps.

Pure prompt-building functions for AI features.

FC/IS rule: no I/O, no logging, no exceptions here.
All functions are pure transformations from data to prompt strings/messages.

The schema the SQL copilot is shown, and the check its answer must pass.

Without the project's tables the model guessed every name from the English
description (BOU-513). It now sees the tables and columns the migrations
create, and an answer naming anything else is refused.