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

validator_client/http_api/Cargo.toml

@@ -29,9 +29,9 @@ parking_lot = { workspace = true }
 rand = { workspace = true }
 sensitive_url = { workspace = true }
 serde = { workspace = true }
+serde_json = { workspace = true }
 signing_method = { workspace = true }
 slashing_protection = { workspace = true }
-slog =  { workspace = true }
 slot_clock =  { workspace = true }
 sysinfo =  { workspace = true }
 system_health =  { workspace = true }
@@ -39,6 +39,7 @@ task_executor =  { workspace = true }
 tempfile =  { workspace = true }
 tokio =  { workspace = true }
 tokio-stream =  { workspace = true }
+tracing =  { workspace = true }
 types =  { workspace = true }
 url =  { workspace = true }
 validator_dir =  { workspace = true }