docs: address Copilot PR review comments

- Fix module-level doc comment from `stats` to `health_check`
- Fix invalid JSON example (trailing comma, indentation)
- Fix implementation plan status values: `Completed` -> `DONE`
- Correct T5/T6 task descriptions

Author: josecelano

docs/issues/open/1939-1938-si-1-migrate-health-check-context.md

@@ -102,14 +102,14 @@ packages/rest-api-runtime-adapter/src/adapters/<context>.rs
 
 ## Implementation Plan
 
-| ID  | Status    | Task                                                                                                                        | Notes                               |
-| --- | --------- | --------------------------------------------------------------------------------------------------------------------------- | ----------------------------------- |
-| T1  | Completed | Add `health_check` context module to `rest-api-protocol/src/v1/context/` with `Status` and `Report` DTOs (resources subdir) | Match current serialization exactly |
-| T2  | Completed | Export new context from `rest-api-protocol/src/v1/context/mod.rs` and set up normalized `resources/` module tree            |                                     |
-| T3  | Completed | Remove local `Status` and `Report` from Axum `health_check` resources                                                       |                                     |
-| T4  | Completed | Update Axum handler to import and use protocol DTOs                                                                         |                                     |
-| T5  | Completed | Verify pre-commit and pre-push checks pass                                                                                  | Pre-commit checks pass              |
-| T6  | Completed | Verify integration tests pass                                                                                               | Compilation verified                |
+| ID  | Status | Task                                                                                                                        | Notes                               |
+| --- | ------ | --------------------------------------------------------------------------------------------------------------------------- | ----------------------------------- |
+| T1  | DONE   | Add `health_check` context module to `rest-api-protocol/src/v1/context/` with `Status` and `Report` DTOs (resources subdir) | Match current serialization exactly |
+| T2  | DONE   | Export new context from `rest-api-protocol/src/v1/context/mod.rs` and set up normalized `resources/` module tree            |                                     |
+| T3  | DONE   | Remove local `Status` and `Report` from Axum `health_check` resources                                                       |                                     |
+| T4  | DONE   | Update Axum handler to import and use protocol DTOs                                                                         |                                     |
+| T5  | DONE   | Verify pre-commit checks pass                                                                                               | Pre-commit checks pass              |
+| T6  | DONE   | Verify integration tests compile                                                                                            | Compilation verified                |
 
 ## Verification / Progress
 

packages/axum-rest-api-server/src/v1/context/health_check/handlers.rs

@@ -1,4 +1,4 @@
-//! API handlers for the [`stats`](crate::v1::context::health_check)
+//! API handlers for the [`health_check`](crate::v1::context::health_check)
 //! API context.
 
 use axum::Json;

packages/axum-rest-api-server/src/v1/context/health_check/mod.rs

@@ -22,8 +22,8 @@
 //!
 //! ```json
 //! {
-//!     "status": "Ok",
-//!   }
+//!     "status": "Ok"
+//! }
 //! ```
 //!
 //! **Resource**