Include SQLite conditions and schema issue tags without copying query data.

Continue @Sy-D's [#4837](https://github.com/pingdotgg/t3code/pull/4837). Add the missing Bun error codes and test the real SQL client.

Created with GPT-6 Astra (preview) in Codex.

Co-authored-by: Sy-D <8460326+Sy-D@users.noreply.github.com>
Co-authored-by: Claude Opus 5 <noreply@anthropic.com>