diff --git a/package.json b/package.json
index 83e4be3f..204b246a 100644
--- a/package.json
+++ b/package.json
@@ -17,7 +17,7 @@
     "fumadocs-mdx": "15.2.0",
     "fumadocs-ui": "16.13.0",
     "lucide-react": "^1.55.0",
-    "mermaid": "^12.1.0",
+    "mermaid": "^12.2.0",
     "next": "16.3.8",
     "next-themes": "^0.4.6",
     "react": "^19.3.0",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 1b459986..53813175 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -24,8 +24,8 @@ importers:
         specifier: ^1.55.0
         version: 1.55.0(@types/react@19.3.0)(react@19.3.0)
       mermaid:
-        specifier: ^12.1.0
-        version: 12.1.0
+        specifier: ^12.2.0
+        version: 12.2.0
       next:
         specifier: 16.3.8
         version: 16.3.8(@types/node@26.6.5)(react-dom@19.3.0(react@19.3.0))(react@19.3.0)
@@ -1586,14 +1586,14 @@ packages:
   comma-separated-tokens@2.0.3:
     resolution: {integrity: sha512-Fu4hJdvzeylCfQPp9SGWidpzrMs7tTrlu6Vb8XGaRGck8QSNZJJp538Wrb60Lax4fPwR64ViY468OIUTbRlGZg==}
 
+  commander@15.0.0:
+    resolution: {integrity: sha512-z67u4ZhzCL/Tydu1lJARtEZYWbWaN7oYLHbsuzocr6y4N6WZAagG3RQ4FW61V1/0+jImpj293XfrcYnd1qxtPg==}
+    engines: {node: '>=22.12.0'}
+
   commander@7.2.0:
     resolution: {integrity: sha512-QrWXB+ZQSVPmIWIhtEO9H+gwHaMGYiF5ChvoJ+K9ZGHG/sVsa6yiesAD1GC/x46sET00Xlwo1u49RVVVzvcSkw==}
     engines: {node: '>= 10'}
 
-  commander@8.3.0:
-    resolution: {integrity: sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==}
-    engines: {node: '>= 12'}
-
   compressible@2.0.18:
     resolution: {integrity: sha512-AF3r7P5dWxL8MxyITRMlORQNaOA2IkAFaTr4k7BUumjPtRpGDTZpl0Pb1XCO6JeDCBdp126Cgs9sMxqSjgYyRg==}
     engines: {node: '>= 0.6'}
@@ -2176,8 +2176,8 @@ packages:
   json-schema-traverse@1.0.0:
     resolution: {integrity: sha512-NM8/P9n3XjXhIZn1lLhkFaACTOURQXjWhV4BA/RnOv8xvgqtqpAX9IO4mRQxSx1Rlo4tqzeqb0sOlruaOy3dug==}
 
-  katex@0.16.47:
-    resolution: {integrity: sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==}
+  katex@0.18.10:
+    resolution: {integrity: sha512-/B6p9eY9DX7aHBfpkHdpirDTZ5QH9xTwL9y837PWuzuv41O5jFdqNQwVQEQsimY0/iVNkwBY4+4hMfhQ7d4Dbw==}
     hasBin: true
 
   khroma@2.1.0:
@@ -2348,8 +2348,8 @@ packages:
   merge-stream@2.0.0:
     resolution: {integrity: sha512-abv/qOcuPfk3URPfDzmZU1LKmuw8kT+0nIHvKrKgFrwifol/doWcdA4ZqsWQ8ENrFKkd67Mfpo/LovbIUsbt3w==}
 
-  mermaid@12.1.0:
-    resolution: {integrity: sha512-wlVCp+8eTupfCeeFvoZNNiTuHrvag0P2jz/ILgb/f/6jkVokUefOcujefi8qUe/j2asHiSePncVsz/xzzA80LQ==}
+  mermaid@12.2.0:
+    resolution: {integrity: sha512-w7nr/SFrLO7BaVTs3dQTvYSV6nYSBj0Yy9DjBhsIJtAcHqRzXSq4Pg32ujHZ/AdWsAMNEvvhbm5dt9E2tOiHzw==}
     engines: {node: '>=22.12.0'}
 
   micromark-core-commonmark@2.0.3:
@@ -4273,9 +4273,9 @@ snapshots:
 
   comma-separated-tokens@2.0.3: {}
 
-  commander@7.2.0: {}
+  commander@15.0.0: {}
 
-  commander@8.3.0: {}
+  commander@7.2.0: {}
 
   compressible@2.0.18:
     dependencies:
@@ -4944,9 +4944,9 @@ snapshots:
 
   json-schema-traverse@1.0.0: {}
 
-  katex@0.16.47:
+  katex@0.18.10:
     dependencies:
-      commander: 8.3.0
+      commander: 15.0.0
 
   khroma@2.1.0: {}
 
@@ -5190,7 +5190,7 @@ snapshots:
 
   merge-stream@2.0.0: {}
 
-  mermaid@12.1.0:
+  mermaid@12.2.0:
     dependencies:
       '@braintree/sanitize-url': 7.1.2
       '@iconify/utils': 3.1.7
@@ -5208,7 +5208,7 @@ snapshots:
       dompurify: 3.4.16
       elkjs: 0.9.3
       es-toolkit: 1.52.0
-      katex: 0.16.47
+      katex: 0.18.10
       khroma: 2.1.0
       marked: 16.4.2
       roughjs: 4.6.6