Fix breakage reporting handling (#6807)

Task/Issue URL:
https://app.asana.com/1/137249556945/project/1205008441501016/task/1211371004653652?focus=true

### Description
* Fix broken check for breakageReportResult and initialPing. We trying
to match feature name instead of method

### Steps to test this PR
n/a

### UI changes
| Before  | After |
| ------ | ----- |
!(Upload before screenshot)|(Upload after screenshot)|

Author: CrisBarreiro

app/src/main/java/com/duckduckgo/app/browser/BrowserTabViewModel.kt

@@ -3702,18 +3702,24 @@ class BrowserTabViewModel @Inject constructor(
                     "screenUnlock" -> screenUnlock()
                 }
             }
-            "breakageReportResult" -> if (data != null) {
-                breakageReportResult(data)
+            "breakageReporting" -> if (data != null) {
+                when (method) {
+                    "breakageReportResult" -> {
+                        breakageReportResult(data)
+                    }
+                }
             }
-            "initialPing" -> {
-                // TODO: Eventually, we might want plugins here
-                val response = JSONObject(
-                    mapOf(
-                        "desktopModeEnabled" to (getSite()?.isDesktopMode ?: false),
-                        "forcedZoomEnabled" to (accessibilityViewState.value?.forceZoom ?: false),
-                    ),
-                )
-                onResponse(response)
+            "messaging" -> when (method) {
+                "initialPing" -> {
+                    // TODO: Eventually, we might want plugins here
+                    val response = JSONObject(
+                        mapOf(
+                            "desktopModeEnabled" to (getSite()?.isDesktopMode ?: false),
+                            "forcedZoomEnabled" to (accessibilityViewState.value?.forceZoom ?: false),
+                        ),
+                    )
+                    onResponse(response)
+                }
             }
         }
     }