Filter noisy targets from persistent logs (#29457)

## Why

The local SQLite log sink currently enables TRACE for every target. This
persists high-volume dependency logs bridged through `target=log` and
duplicates OpenTelemetry mirror events in `codex_otel.log_only` and
`codex_otel.trace_safe`.

These records rapidly consume the per-partition log budget and cause
unnecessary SQLite insert-and-prune churn.

## What changed

- Keep TRACE persistence for other targets.
- Exclude bridged `target=log` events from the SQLite sink.
- Exclude the two `codex_otel` mirror targets from the SQLite sink.
- Share the same filter between app-server and TUI.

Remote OpenTelemetry export and metrics are unchanged.

codex-rs/app-server/src/lib.rs

@@ -68,13 +68,11 @@ use tokio::sync::mpsc;
 use tokio::sync::oneshot;
 use tokio::task::JoinHandle;
 use tokio_util::sync::CancellationToken;
-use tracing::Level;
 use tracing::error;
 use tracing::info;
 use tracing::warn;
 use tracing_subscriber::EnvFilter;
 use tracing_subscriber::Layer;
-use tracing_subscriber::filter::Targets;
 use tracing_subscriber::layer::SubscriberExt;
 use tracing_subscriber::registry::Registry;
 use tracing_subscriber::util::SubscriberInitExt;
@@ -666,7 +664,7 @@ pub async fn run_main_with_transport_options(
     let log_db = state_db.clone().map(log_db::start);
     let log_db_layer = log_db
         .clone()
-        .map(|layer| layer.with_filter(Targets::new().with_default(Level::TRACE)));
+        .map(|layer| layer.with_filter(log_db::default_filter()));
     let otel_logger_layer = otel.as_ref().and_then(|o| o.logger_layer());
     let otel_tracing_layer = otel.as_ref().and_then(|o| o.tracing_layer());
     let _ = tracing_subscriber::registry()