diff --git a/packages/agent-core-v2/src/_base/execEnv/globPattern.ts b/packages/agent-core-v2/src/_base/execEnv/globPattern.ts
index ffca52fb88..547f644589 100644
--- a/packages/agent-core-v2/src/_base/execEnv/globPattern.ts
+++ b/packages/agent-core-v2/src/_base/execEnv/globPattern.ts
@@ -43,7 +43,7 @@ export function globPatternToRegex(pattern: string, caseSensitive: boolean): Reg
       case '\\': {
         if (i + 1 < pattern.length) {
           const next = pattern.charAt(i + 1);
-          regex += next.replaceAll(/[{}()+.\\[\]^$|]/g, '\\$&');
+          regex += next.replaceAll(/[{}()+.\\[\]^$|*?]/g, '\\$&');
           i++;
         } else {
           regex += '\\\\';
diff --git a/packages/agent-core-v2/src/app/llmProtocol/providers/google-genai.ts b/packages/agent-core-v2/src/app/llmProtocol/providers/google-genai.ts
index c7b998aed8..f69c51a7c0 100644
--- a/packages/agent-core-v2/src/app/llmProtocol/providers/google-genai.ts
+++ b/packages/agent-core-v2/src/app/llmProtocol/providers/google-genai.ts
@@ -543,7 +543,7 @@ export class GoogleGenAIStreamedMessage implements StreamedMessage {
           : 0;
       this._usage = {
         inputOther: Math.max(promptTokenCount - cachedContentTokenCount, 0),
-        output: (usageMetadata['candidatesTokenCount'] as number) ?? 0,
+        output: typeof usageMetadata['candidatesTokenCount'] === 'number' ? usageMetadata['candidatesTokenCount'] : 0,
         inputCacheRead: cachedContentTokenCount,
         inputCacheCreation: 0,
       };
diff --git a/packages/kaos/src/internal.ts b/packages/kaos/src/internal.ts
index 6c89acf27e..b370f3dacf 100644
--- a/packages/kaos/src/internal.ts
+++ b/packages/kaos/src/internal.ts
@@ -220,7 +220,7 @@ export function globPatternToRegex(pattern: string, caseSensitive: boolean): Reg
       case '\\': {
         if (i + 1 < pattern.length) {
           const next = pattern.charAt(i + 1);
-          regex += next.replaceAll(/[{}()+.\\[\]^$|]/g, '\\$&');
+          regex += next.replaceAll(/[{}()+.\\[\]^$|*?]/g, '\\$&');
           // Advance past the escaped character so it is not processed
           // again as a regex metacharacter. match literally.
           i++;
diff --git a/packages/kosong/src/providers/google-genai.ts b/packages/kosong/src/providers/google-genai.ts
index 88a26e6e0e..ec6ed1aeaf 100644
--- a/packages/kosong/src/providers/google-genai.ts
+++ b/packages/kosong/src/providers/google-genai.ts
@@ -632,7 +632,7 @@ export class GoogleGenAIStreamedMessage implements StreamedMessage {
           : 0;
       this._usage = {
         inputOther: Math.max(promptTokenCount - cachedContentTokenCount, 0),
-        output: (usageMetadata['candidatesTokenCount'] as number) ?? 0,
+        output: typeof usageMetadata['candidatesTokenCount'] === 'number' ? usageMetadata['candidatesTokenCount'] : 0,
         inputCacheRead: cachedContentTokenCount,
         inputCacheCreation: 0,
       };