proxy: fix bug with populating the data (#7023)

## Problem

Branch/project and coldStart were not populated to data events.

## Summary of changes

Populate it. Also added logging for the coldstart info.

proxy/src/auth/backend/link.rs

@@ -102,6 +102,8 @@ pub(super) async fn authenticate(
 
     ctx.set_user(db_info.user.into());
     ctx.set_project(db_info.aux.clone());
+    let cold_start_info = db_info.aux.cold_start_info.clone().unwrap_or_default();
+    info!(?cold_start_info, "woken up a compute node");
 
     // Backwards compatibility. pg_sni_proxy uses "--" in domain names
     // while direct connections do not. Once we migrate to pg_sni_proxy

proxy/src/console/messages.rs

@@ -101,9 +101,10 @@ pub struct MetricsAuxInfo {
     pub cold_start_info: Option<ColdStartInfo>,
 }
 
-#[derive(Debug, Serialize, Deserialize, Clone)]
+#[derive(Debug, Default, Serialize, Deserialize, Clone)]
 #[serde(rename_all = "snake_case")]
 pub enum ColdStartInfo {
+    #[default]
     Unknown = 0,
     Warm = 1,
     PoolHit = 2,

proxy/src/console/provider/neon.rs

@@ -259,6 +259,9 @@ impl super::Api for Api {
         }
 
         let node = self.do_wake_compute(ctx, user_info).await?;
+        ctx.set_project(node.aux.clone());
+        let cold_start_info = node.aux.cold_start_info.clone().unwrap_or_default();
+        info!(?cold_start_info, "woken up a compute node");
         let (_, cached) = self.caches.node_info.insert(key.clone(), node);
         info!(key = &*key, "created a cache entry for compute node info");