chore: unify log queries (#10152)

Unify log queries to only have SQLX code in the runtime and use it for
both the log client and for tests

codex-rs/state/migrations/0002_logs.sql

@@ -5,11 +5,9 @@ CREATE TABLE logs (
     level TEXT NOT NULL,
     target TEXT NOT NULL,
     message TEXT,
-    thread_id TEXT,
     module_path TEXT,
     file TEXT,
     line INTEGER
 );
 
 CREATE INDEX idx_logs_ts ON logs(ts DESC, ts_nanos DESC, id DESC);
-CREATE INDEX idx_logs_thread_id ON logs(thread_id);