Fix task names in the continuous compilation doc (#4931)

* Fix task names in the `continuous compilation` doc

* update: Review of Kotlin/JS continuous mode

* chore: fix screenshot border

---------

Co-authored-by: alepedroza <[email protected]>

Author: JSMonk

docs/images/reference/dev-server-continuous-compilation/edit-configurations.png

@@ -1,20 +1,24 @@
 [//]: # (title: Development server and continuous compilation)
 
-Instead of manually compiling and executing a Kotlin/JS project every time you want to see the changes you made,
-you can use the _continuous compilation_ mode. Instead of using the regular `run` command, invoke the Gradle wrapper
-in _continuous_ mode:
+Instead of manually compiling and running your Kotlin/JS project each time you want to see the changes you made,
+you can use the _continuous compilation_ mode. Rather than using the regular `jsBrowserDevelopmentRun` (for `browser`) and `jsNodeDevelopmentRun` (for `nodejs`) command, invoke the Gradle wrapper
+in continuous mode:
 
 ```bash
-./gradlew run --continuous
+ # For `browser` project
+./gradlew jsBrowserDevelopmentRun --continuous
+
+ # For `nodejs` project
+./gradlew jsNodeDevelopmentRun --continuous
 ```
 
-If you are working in IntelliJ IDEA, you can pass the same flag via the _run configuration_. After running the Gradle
-`run` task for the first time from the IDE, IntelliJ IDEA automatically generates a run configuration for it,
-which you can edit:
+If you are working in IntelliJ IDEA, you can pass the same flag via the list of run configurations. After running the 
+`jsBrowserDevelopmentRun` Gradle task for the first time from the IDE, IntelliJ IDEA automatically generates a run configuration for it,
+which you can edit at the top toolbar:
 
 ![Editing run configurations in IntelliJ IDEA](edit-configurations.png){width=700}
 
-Enabling continuous mode via the **Run/Debug Configurations** dialog is as easy as adding the `--continuous` flag to the
+Enable continuous mode via the **Run/Debug Configurations** dialog by adding the `--continuous` flag to the
 arguments for the run configuration:
 
 ![Adding the continuous flag to a run configuration in IntelliJ IDEA](run-debug-configurations.png){width=700}
@@ -23,6 +27,6 @@ When executing this run configuration, you can note that the Gradle process cont
 
 ![Gradle waiting for changes](waiting-for-changes.png){width=700}
 
-Once a change has been detected, the program will be recompiled automatically. If you still have the page open in the browser,
-the development server will trigger an automatic reload of the page, and the changes will become visible.
-This is thanks to the integrated `webpack-dev-server` that is managed by the Kotlin Multiplatform Gradle plugin.
+Once a change has been detected, the program is recompiled automatically. If you still have the web page open in the browser,
+the development server triggers an automatic reload of the page, and the changes become visible.
+This is thanks to the integrated [`webpack-dev-server`](https://webpack.js.org/configuration/dev-server/) that is managed by the [Kotlin Multiplatform Gradle plugin](https://www.jetbrains.com/help/kotlin-multiplatform-dev/multiplatform-dsl-reference.html).