Integrate tracing (#6339)

Tracing Integration
- [reference](5bbf1859e9/projects/project-ideas.md (L297))


  - [x] replace slog & log with tracing throughout the codebase
- [x] implement custom crit log
- [x] make relevant changes in the formatter
- [x] replace sloggers
- [x] re-write SSE logging components

cc: @macladson @eserilev

beacon_node/timer/Cargo.toml

@@ -6,7 +6,7 @@ edition = { workspace = true }
 
 [dependencies]
 beacon_chain = { workspace = true }
-slog = { workspace = true }
 slot_clock = { workspace = true }
 task_executor = { workspace = true }
 tokio = { workspace = true }
+tracing = { workspace = true }

beacon_node/timer/src/lib.rs

@@ -3,22 +3,21 @@
 //! This service allows task execution on the beacon node for various functionality.
 
 use beacon_chain::{BeaconChain, BeaconChainTypes};
-use slog::{info, warn};
 use slot_clock::SlotClock;
 use std::sync::Arc;
 use tokio::time::sleep;
+use tracing::{info, warn};
 
 /// Spawns a timer service which periodically executes tasks for the beacon chain
 pub fn spawn_timer<T: BeaconChainTypes>(
     executor: task_executor::TaskExecutor,
     beacon_chain: Arc<BeaconChain<T>>,
 ) -> Result<(), &'static str> {
-    let log = executor.log().clone();
     let timer_future = async move {
         loop {
             let Some(duration_to_next_slot) = beacon_chain.slot_clock.duration_to_next_slot()
             else {
-                warn!(log, "Unable to determine duration to next slot");
+                warn!("Unable to determine duration to next slot");
                 return;
             };
 
@@ -28,7 +27,7 @@ pub fn spawn_timer<T: BeaconChainTypes>(
     };
 
     executor.spawn(timer_future, "timer");
-    info!(executor.log(), "Timer service started");
+    info!("Timer service started");
 
     Ok(())
 }