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

common/lighthouse_version/Cargo.toml

@@ -1,7 +1,7 @@
 [package]
 name = "lighthouse_version"
 version = "0.1.0"
-authors = ["Paul Hauner <paul@paulhauner.com>"]
+authors = ["Sigma Prime <contact@sigmaprime.io>"]
 edition = { workspace = true }
 # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html