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

lcli/Cargo.toml

@@ -34,10 +34,11 @@ rayon = { workspace = true }
 serde = { workspace = true }
 serde_json = { workspace = true }
 serde_yaml = { workspace = true }
-sloggers = { workspace = true }
 snap = { workspace = true }
 state_processing = { workspace = true }
 store = { workspace = true }
+tracing = { workspace = true }
+tracing-subscriber = { workspace = true }
 tree_hash = { workspace = true }
 types = { workspace = true }
 validator_dir = { workspace = true }