Send llm events to snowflake too (#21091)

Closes #ISSUE

Release Notes:

- N/A

crates/client/src/client.rs

@@ -1067,6 +1067,8 @@ impl Client {
         let proxy = http.proxy().cloned();
         let credentials = credentials.clone();
         let rpc_url = self.rpc_url(http, release_channel);
+        let system_id = self.telemetry.system_id();
+        let metrics_id = self.telemetry.metrics_id();
         cx.background_executor().spawn(async move {
             use HttpOrHttps::*;
 
@@ -1118,6 +1120,12 @@ impl Client {
                 "x-zed-release-channel",
                 HeaderValue::from_str(release_channel.map(|r| r.dev_name()).unwrap_or("unknown"))?,
             );
+            if let Some(system_id) = system_id {
+                request_headers.insert("x-zed-system-id", HeaderValue::from_str(&system_id)?);
+            }
+            if let Some(metrics_id) = metrics_id {
+                request_headers.insert("x-zed-metrics-id", HeaderValue::from_str(&metrics_id)?);
+            }
 
             match url_scheme {
                 Https => {