telemetry(chat): see if message is apart of agentic loop (aws#7069)

## Problem
- want to differentiate between a message without tool use (ex: what
time is it) and a message with tool use (ex: write a docstring for my
function)

## Solution
- for both successful messages and messages that resulted in error, see
if this message was apart of an agentic loop.
- An agentic loop is when the LLM asks to run a tool and the LLM
receives the results back of running the tool.

---

- Treat all work as PUBLIC. Private `feature/x` branches will not be
squash-merged at release time.
- Your code changes must meet the guidelines in
[CONTRIBUTING.md](https://github.com/aws/aws-toolkit-vscode/blob/master/CONTRIBUTING.md#guidelines).
- License: I confirm that my contribution is made under the terms of the
Apache 2.0 license.

Author: chungjac

package-lock.json

@@ -41,7 +41,7 @@
         "skippedTestReport": "ts-node ./scripts/skippedTestReport.ts ./packages/amazonq/test/e2e/"
     },
     "devDependencies": {
-        "@aws-toolkits/telemetry": "^1.0.314",
+        "@aws-toolkits/telemetry": "^1.0.315",
         "@playwright/browser-chromium": "^1.43.1",
         "@stylistic/eslint-plugin": "^2.11.0",
         "@types/he": "^1.2.3",

package.json

@@ -543,7 +543,11 @@ export class CWCTelemetryHelper {
             cwsprChatFullDisplayLatency: fullDisplayLatency,
             cwsprChatRequestLength: triggerPayload.message.length,
             cwsprChatResponseLength: message.messageLength,
-            cwsprChatConversationType: triggerPayload.origin ? 'AgenticChat' : 'Chat',
+            cwsprChatConversationType: triggerPayload.origin
+                ? triggerPayload.toolResults
+                    ? 'AgenticChatWithToolUse'
+                    : 'AgenticChat'
+                : 'Chat',
             credentialStartUrl: AuthUtil.instance.startUrl,
             codewhispererCustomizationArn: triggerPayload.customization.arn,
             cwsprChatHasProjectContext: hasProjectLevelContext,
@@ -623,7 +627,11 @@ export class CWCTelemetryHelper {
             cwsprChatActiveEditorImportCount: triggerPayload.codeQuery?.fullyQualifiedNames?.used?.length,
             cwsprChatResponseCode: responseCode,
             cwsprChatRequestLength: triggerPayload.message?.length ?? 0,
-            cwsprChatConversationType: triggerPayload.origin ? 'AgenticChat' : 'Chat',
+            cwsprChatConversationType: triggerPayload.origin
+                ? triggerPayload.toolResults
+                    ? 'AgenticChatWithToolUse'
+                    : 'AgenticChat'
+                : 'Chat',
             credentialStartUrl: AuthUtil.instance.startUrl,
             requestId: requestID,
             reasonDesc: getTelemetryReasonDesc(errorReason),