feat: add captain editor events (#13524)

## Description

Adds missing analytics instrumentation for the editor AI funnel so we
can measure end-to-end usage and outcome quality.

### What was added

- Captain: Editor AI menu opened
- Captain: Generation failed
- Captain: AI-assisted message sent

### Behavior covered

- Tracks AI button click + menu open from both entry points:
    - top panel sparkle button
    - inline editor copilot button
- Tracks generation failures (initial + follow-up stages).
- Tracks whether accepted AI content was sent as-is or edited before
send.

### Notes

- Applies to editor Captain accept/send flow
(rewrite/summarize/reply_suggestion + follow-ups).
- Does not change Copilot sidebar flow instrumentation.

## Type of change

- [x] Bug fix (non-breaking change which fixes an issue)
- [x] New feature (non-breaking change which adds functionality)
- [ ] Breaking change (fix or feature that would cause existing
functionality not to work as expected)
- [ ] This change requires a documentation update

## How Has This Been Tested?

### Manual verification steps

<img width="1906" height="832" alt="image"
src="https://github.com/user-attachments/assets/f0ade43b-aa8d-41be-8ca2-20a091a81f60"
/>

<img width="828" height="280" alt="image"
src="https://github.com/user-attachments/assets/be76219e-fb61-4a6e-bff5-dc085b0a3cc9"
/>

<img width="415" height="147" alt="image"
src="https://github.com/user-attachments/assets/36802c5c-33a7-49ed-bf7e-f0b02d86dccc"
/>

<img width="2040" height="516" alt="image"
src="https://github.com/user-attachments/assets/74b95288-bc86-4312-a282-14211ae8f25c"
/>


1. Open a conversation with Captain tasks enabled.
2. Click AI button in top panel and inline editor.
3. Confirm analytics events fire for:
    - AI menu opened
4. Run an AI action and force a failure scenario (or empty response
path) and confirm generation-failed event.
5. Accept AI output, then:
    - send without changes -> editedBeforeSend: false
    - edit then send -> editedBeforeSend: true

## Checklist:

- [x] My code follows the style guidelines of this project
- [x] I have performed a self-review of my code
- [ ] I have commented on my code, particularly in hard-to-understand
areas
- [ ] I have made corresponding changes to the documentation
- [x] My changes generate no new warnings
- [ ] I have added tests that prove my fix is effective or that my
feature works
- [ ] New and existing unit tests pass locally with my changes
- [ ] Any dependent changes have been merged and published in downstream
modules

app/javascript/dashboard/composables/useCaptain.js

@@ -11,6 +11,7 @@ import { useAlert } from 'dashboard/composables';
 import { useI18n } from 'vue-i18n';
 import { FEATURE_FLAGS } from 'dashboard/featureFlags';
 import TasksAPI from 'dashboard/api/captain/tasks';
+import { CAPTAIN_ERROR_TYPES } from 'dashboard/composables/captain/constants';
 
 export function useCaptain() {
   const store = useStore();
@@ -69,7 +70,10 @@ export function useCaptain() {
    * @param {Error} error - The error object from the API call.
    */
   const handleAPIError = error => {
-    if (error.name === 'AbortError' || error.name === 'CanceledError') {
+    if (
+      error.name === CAPTAIN_ERROR_TYPES.ABORT_ERROR ||
+      error.name === CAPTAIN_ERROR_TYPES.CANCELED_ERROR
+    ) {
       return;
     }
     const errorMessage =
@@ -78,6 +82,24 @@ export function useCaptain() {
     useAlert(errorMessage);
   };
 
+  /**
+   * Classifies API error types for downstream analytics.
+   * @param {Error} error
+   * @returns {string}
+   */
+  const getErrorType = error => {
+    if (
+      error.name === CAPTAIN_ERROR_TYPES.ABORT_ERROR ||
+      error.name === CAPTAIN_ERROR_TYPES.CANCELED_ERROR
+    ) {
+      return CAPTAIN_ERROR_TYPES.ABORTED;
+    }
+    if (error.response?.status) {
+      return `${CAPTAIN_ERROR_TYPES.HTTP_PREFIX}${error.response.status}`;
+    }
+    return CAPTAIN_ERROR_TYPES.API_ERROR;
+  };
+
   // === Task Methods ===
   /**
    * Rewrites content with a specific operation.
@@ -103,7 +125,7 @@ export function useCaptain() {
       return { message: generatedMessage, followUpContext };
     } catch (error) {
       handleAPIError(error);
-      return { message: '' };
+      return { message: '', errorType: getErrorType(error) };
     }
   };
 
@@ -125,7 +147,7 @@ export function useCaptain() {
       return { message: generatedMessage, followUpContext };
     } catch (error) {
       handleAPIError(error);
-      return { message: '' };
+      return { message: '', errorType: getErrorType(error) };
     }
   };
 
@@ -147,7 +169,7 @@ export function useCaptain() {
       return { message: generatedMessage, followUpContext };
     } catch (error) {
       handleAPIError(error);
-      return { message: '' };
+      return { message: '', errorType: getErrorType(error) };
     }
   };
 
@@ -171,7 +193,11 @@ export function useCaptain() {
       return { message: generatedMessage, followUpContext: updatedContext };
     } catch (error) {
       handleAPIError(error);
-      return { message: '', followUpContext };
+      return {
+        message: '',
+        followUpContext,
+        errorType: getErrorType(error),
+      };
     }
   };