diff --git a/website/pnpm-lock.yaml b/website/pnpm-lock.yaml
index 1fc5e4f3a..48f7f25a7 100644
--- a/website/pnpm-lock.yaml
+++ b/website/pnpm-lock.yaml
@@ -377,8 +377,8 @@ packages:
   '@mdx-js/mdx@3.1.0':
     resolution: {integrity: sha512-/QxEhPAvGwbQmy1Px8F899L5Uc2KZ6JtXwlCgJmjSTBedwOZkByYcBG4GceIGPXRDsmfxhHazuS+hlOShRLeDw==}
 
-  '@mermaid-js/parser@0.4.0':
-    resolution: {integrity: sha512-wla8XOWvQAwuqy+gxiZqY+c7FokraOTHRWMsbB4AgRx9Sy7zKslNyejy7E+a77qHfey5GXw/ik3IXv/NHMJgaA==}
+  '@mermaid-js/parser@0.6.2':
+    resolution: {integrity: sha512-+PO02uGF6L6Cs0Bw8RpGhikVvMWEysfAyl27qTlroUB8jSWr1lL0Sf6zi78ZxlSnmgSY2AMMKVgghnN9jTtwkQ==}
 
   '@napi-rs/simple-git-android-arm-eabi@0.1.19':
     resolution: {integrity: sha512-XryEH/hadZ4Duk/HS/HC/cA1j0RHmqUGey3MsCf65ZS0VrWMqChXM/xlTPWuY5jfCc/rPubHaqI7DZlbexnX/g==}
@@ -1701,8 +1701,8 @@ packages:
     resolution: {integrity: sha512-35mSku4ZXK0vfCuHEDAwt55dg2jNajHZ1odvF+8SSr82EsZY4QmXfuWso8oEd8zRhVObSN18aM0CjSdoBX7zIw==}
     engines: {node: '>=0.10.0'}
 
-  dompurify@3.2.4:
-    resolution: {integrity: sha512-ysFSFEDVduQpyhzAob/kkuJjf5zWkZD8/A9ywSp1byueyuCfHamrCBa14/Oc2iiB0e51B+NpxSl5gmzn+Ms/mg==}
+  dompurify@3.2.6:
+    resolution: {integrity: sha512-/2GogDQlohXPZe6D6NOgQvXLPSYBqIWMnZ8zzOhn09REE4eyAzb+Hed3jhoM9OkuaJ8P6ZGTTVWQKAi8ieIzfQ==}
 
   dunder-proto@1.0.1:
     resolution: {integrity: sha512-KIN/nDJBQRcXw0MLVhZE9iQHmG68qAVIBg9CqmUYjmQIhgij9U5MFvrqkUL5FbtyyzZuOeOt0zdeRe4UY7ct+A==}
@@ -2412,6 +2412,10 @@ packages:
     resolution: {integrity: sha512-XvqR7FgOHtWupfMiigNzmh+MgUVmDGU2kXZm899ZkPfcuoPuFxyHmXsgATDpFZDAXCI8tvinaVcDo8PIIJSo4A==}
     hasBin: true
 
+  katex@0.16.22:
+    resolution: {integrity: sha512-XCHRdUw4lf3SKBaJe4EvgqIuWwkPSo9XoeO8GjQW94Bp7TWv9hNhzZjZ+OH9yf1UmLygb7DIT5GSFQiyt16zYg==}
+    hasBin: true
+
   keyv@4.5.4:
     resolution: {integrity: sha512-oxVHkHR/EJf2CNXnWxRLW6mg7JyCCUcG0DtEGmL2ctUo1PNTin1PUil+r/+4r5MpVgC/fn1kjsx7mjSujKqIpw==}
 
@@ -2556,9 +2560,9 @@ packages:
   markdown-table@3.0.4:
     resolution: {integrity: sha512-wiYz4+JrLyb/DqW2hkFJxP7Vd7JuTDm77fvbM8VfEQdmSMqcImWeeRbHwZjBjIFki/VaMK2BhFi7oUUZeM5bqw==}
 
-  marked@15.0.7:
-    resolution: {integrity: sha512-dgLIeKGLx5FwziAnsk4ONoGwHwGPJzselimvlVskE9XLN4Orv9u2VA3GWw/lYUqjfA0rUT/6fqKwfZJapP9BEg==}
-    engines: {node: '>= 18'}
+  marked@16.2.0:
+    resolution: {integrity: sha512-LbbTuye+0dWRz2TS9KJ7wsnD4KAtpj0MVkWc90XvBa6AslXsT0hTBVH5k32pcSyHH1fst9XEFJunXHktVy0zlg==}
+    engines: {node: '>= 20'}
     hasBin: true
 
   math-intrinsics@1.1.0:
@@ -2632,8 +2636,8 @@ packages:
     resolution: {integrity: sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg==}
     engines: {node: '>= 8'}
 
-  mermaid@11.6.0:
-    resolution: {integrity: sha512-PE8hGUy1LDlWIHWBP05SFdqUHGmRcCcK4IzpOKPE35eOw+G9zZgcnMpyunJVUEOgb//KBORPjysKndw8bFLuRg==}
+  mermaid@11.10.0:
+    resolution: {integrity: sha512-oQsFzPBy9xlpnGxUqLbVY8pvknLlsNIJ0NWwi8SUJjhbP1IT0E0o1lfhU4iYV3ubpy+xkzkaOyDUQMn06vQElQ==}
 
   mhchemparser@4.2.1:
     resolution: {integrity: sha512-kYmyrCirqJf3zZ9t/0wGgRZ4/ZJw//VwaRVGA75C4nhE60vtnIzhl9J9ndkX/h6hxSN7pjg/cE0VxbnNM+bnDQ==}
@@ -4080,7 +4084,7 @@ snapshots:
       - acorn
       - supports-color
 
-  '@mermaid-js/parser@0.4.0':
+  '@mermaid-js/parser@0.6.2':
     dependencies:
       langium: 3.3.1
 
@@ -4543,7 +4547,7 @@ snapshots:
 
   '@theguild/remark-mermaid@0.2.0(react@19.1.0)':
     dependencies:
-      mermaid: 11.6.0
+      mermaid: 11.10.0
       react: 19.1.0
       unist-util-visit: 5.0.0
     transitivePeerDependencies:
@@ -5429,7 +5433,7 @@ snapshots:
     dependencies:
       esutils: 2.0.3
 
-  dompurify@3.2.4:
+  dompurify@3.2.6:
     optionalDependencies:
       '@types/trusted-types': 2.0.7
 
@@ -6389,6 +6393,10 @@ snapshots:
     dependencies:
       commander: 8.3.0
 
+  katex@0.16.22:
+    dependencies:
+      commander: 8.3.0
+
   keyv@4.5.4:
     dependencies:
       json-buffer: 3.0.1
@@ -6513,7 +6521,7 @@ snapshots:
 
   markdown-table@3.0.4: {}
 
-  marked@15.0.7: {}
+  marked@16.2.0: {}
 
   math-intrinsics@1.1.0: {}
 
@@ -6716,11 +6724,11 @@ snapshots:
 
   merge2@1.4.1: {}
 
-  mermaid@11.6.0:
+  mermaid@11.10.0:
     dependencies:
       '@braintree/sanitize-url': 7.1.1
       '@iconify/utils': 2.3.0
-      '@mermaid-js/parser': 0.4.0
+      '@mermaid-js/parser': 0.6.2
       '@types/d3': 7.4.3
       cytoscape: 3.31.1
       cytoscape-cose-bilkent: 4.1.0(cytoscape@3.31.1)
@@ -6729,11 +6737,11 @@ snapshots:
       d3-sankey: 0.12.3
       dagre-d3-es: 7.0.11
       dayjs: 1.11.13
-      dompurify: 3.2.4
-      katex: 0.16.21
+      dompurify: 3.2.6
+      katex: 0.16.22
       khroma: 2.1.0
       lodash-es: 4.17.21
-      marked: 15.0.7
+      marked: 16.2.0
       roughjs: 4.6.6
       stylis: 4.3.6
       ts-dedent: 2.2.0