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/validator_store/Cargo.toml

@@ -12,12 +12,13 @@ path = "src/lib.rs"
 account_utils = { workspace = true }
 doppelganger_service = { workspace = true }
 initialized_validators = { workspace = true }
+logging = { workspace = true }
 parking_lot = { workspace = true }
 serde = { workspace = true }
 signing_method = { workspace = true }
 slashing_protection = { workspace = true }
-slog = { workspace = true }
 slot_clock = { workspace = true }
 task_executor = { workspace = true }
+tracing = { workspace = true }
 types = { workspace = true }
 validator_metrics = { workspace = true }