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

testing/validator_test_rig/Cargo.toml

@@ -10,5 +10,5 @@ mockito = { workspace = true }
 regex = { workspace = true }
 sensitive_url = { workspace = true }
 serde_json = { workspace = true }
-slog = { workspace = true }
+tracing = { workspace = true }
 types = { workspace = true }

testing/validator_test_rig/src/mock_beacon_node.rs

@@ -1,20 +1,18 @@
 use eth2::types::{GenericResponse, SyncingData};
 use eth2::{BeaconNodeHttpClient, StatusCode, Timeouts};
-use logging::test_logger;
 use mockito::{Matcher, Mock, Server, ServerGuard};
 use regex::Regex;
 use sensitive_url::SensitiveUrl;
-use slog::{info, Logger};
 use std::marker::PhantomData;
 use std::str::FromStr;
 use std::sync::{Arc, Mutex};
 use std::time::Duration;
+use tracing::info;
 use types::{ChainSpec, ConfigAndPreset, EthSpec, SignedBlindedBeaconBlock};
 
 pub struct MockBeaconNode<E: EthSpec> {
     server: ServerGuard,
     pub beacon_api_client: BeaconNodeHttpClient,
-    log: Logger,
     _phantom: PhantomData<E>,
     pub received_blocks: Arc<Mutex<Vec<SignedBlindedBeaconBlock<E>>>>,
 }
@@ -27,11 +25,9 @@ impl<E: EthSpec> MockBeaconNode<E> {
             SensitiveUrl::from_str(&server.url()).unwrap(),
             Timeouts::set_all(Duration::from_secs(1)),
         );
-        let log = test_logger();
         Self {
             server,
             beacon_api_client,
-            log,
             _phantom: PhantomData,
             received_blocks: Arc::new(Mutex::new(Vec::new())),
         }
@@ -69,7 +65,6 @@ impl<E: EthSpec> MockBeaconNode<E> {
     /// Mocks the `post_beacon_blinded_blocks_v2_ssz` response with an optional `delay`.
     pub fn mock_post_beacon_blinded_blocks_v2_ssz(&mut self, delay: Duration) -> Mock {
         let path_pattern = Regex::new(r"^/eth/v2/beacon/blinded_blocks$").unwrap();
-        let log = self.log.clone();
         let url = self.server.url();
 
         let received_blocks = Arc::clone(&self.received_blocks);
@@ -80,7 +75,6 @@ impl<E: EthSpec> MockBeaconNode<E> {
             .with_status(200)
             .with_body_from_request(move |request| {
                 info!(
-                    log,
                     "{}",
                     format!(
                         "Received published block request on server {} with delay {} s",