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/http_metrics/Cargo.toml

@@ -10,12 +10,13 @@ beacon_chain = { workspace = true }
 health_metrics = { workspace = true }
 lighthouse_network = { workspace = true }
 lighthouse_version = { workspace = true }
+logging = { workspace = true }
 malloc_utils = { workspace = true }
 metrics = { workspace = true }
 serde = { workspace = true }
-slog = { workspace = true }
 slot_clock = { workspace = true }
 store = { workspace = true }
+tracing = { workspace = true }
 warp = { workspace = true }
 warp_utils = { workspace = true }