diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index a9a8b79..04428ba 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -3376,8 +3376,8 @@ packages:
     resolution: {integrity: sha512-cgwlv/1iFQiFnU96XXgROh8xTeetsnJiDsTc7TYCLFd9+/WNkIqPTxiM/8pSd8VIrhXGTf1Ny1q1hquVqDJB5w==}
     engines: {node: '>= 4'}
 
-  dompurify@3.4.1:
-    resolution: {integrity: sha512-JahakDAIg1gyOm7dlgWSDjV4n7Ip2PKR55NIT6jrMfIgLFgWo81vdr1/QGqWtFNRqXP9UV71oVePtjqS2ebnPw==}
+  dompurify@3.4.16:
+    resolution: {integrity: sha512-sqo+pNp3qRhCIpbgRi1y8Tgk27Bo2Ry7w0dC1NBeNTdZChWjz9Xb/KOoZbRP/R6pQZ80Qw8YhXw13hWWBbMRnQ==}
 
   domutils@3.2.2:
     resolution: {integrity: sha512-6kZKyUajlDuqlHKVX1w7gyslj9MPIXzIFiz/rGu35uC1wMi+kMhQwGhl4lt9unC9Vb9INnY9Z3/ZA3+FhASLaw==}
@@ -4075,10 +4075,6 @@ packages:
   jsonfile@6.2.1:
     resolution: {integrity: sha512-zwOTdL3rFQ/lRdBnntKVOX6k5cKJwEc1HdilT71BWEu7J41gXIB2MRp+vxduPSwZJPWBxEzv4yH1wYLJGUHX4Q==}
 
-  katex@0.16.45:
-    resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
-    hasBin: true
-
   katex@0.16.47:
     resolution: {integrity: sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==}
     hasBin: true
@@ -4890,8 +4886,8 @@ packages:
   property-information@7.1.0:
     resolution: {integrity: sha512-TwEZ+X+yCJmYfL7TPUOcvBZ4QfoT5YenQiJuX//0th53DE6w0xxLEtfK3iyryQFddXuvkIk51EEgrJQ0WJkOmQ==}
 
-  proxy-addr@2.0.7:
-    resolution: {integrity: sha512-llQsMLSUDUPT44jdrU/O37qlnifitDP+ZwrmmZcoSKyLKvtZxpyV0n2/bD/N4tBAAZ/gJEdZU7KMraoK1+XYAg==}
+  proxy-addr@2.0.8:
+    resolution: {integrity: sha512-5nnx0yGyVUcY6t9RnWcARWtwT9F1D8O9rt08htPvnd49W1IgZtmLkhu9WfMzQj1cFxjHIO6connUNVW5k7AVyQ==}
     engines: {node: '>= 0.10'}
 
   qs@6.16.0:
@@ -6673,7 +6669,7 @@ snapshots:
 
   '@jridgewell/gen-mapping@0.3.13':
     dependencies:
-      '@jridgewell/sourcemap-codec': 1.5.5
+      '@jridgewell/sourcemap-codec': 1.6.0
       '@jridgewell/trace-mapping': 0.3.31
 
   '@jridgewell/remapping@2.3.5':
@@ -6690,7 +6686,7 @@ snapshots:
   '@jridgewell/trace-mapping@0.3.31':
     dependencies:
       '@jridgewell/resolve-uri': 3.1.2
-      '@jridgewell/sourcemap-codec': 1.5.5
+      '@jridgewell/sourcemap-codec': 1.6.0
 
   '@jridgewell/trace-mapping@0.3.9':
     dependencies:
@@ -8790,7 +8786,7 @@ snapshots:
     dependencies:
       domelementtype: 2.3.0
 
-  dompurify@3.4.1:
+  dompurify@3.4.16:
     optionalDependencies:
       '@types/trusted-types': 2.0.7
 
@@ -9095,7 +9091,7 @@ snapshots:
       on-finished: 2.4.1
       once: 1.4.0
       parseurl: 1.3.3
-      proxy-addr: 2.0.7
+      proxy-addr: 2.0.8
       qs: 6.16.0
       range-parser: 1.2.1
       router: 2.2.0(supports-color@10.2.2)
@@ -9646,10 +9642,6 @@ snapshots:
     optionalDependencies:
       graceful-fs: 4.2.11
 
-  katex@0.16.45:
-    dependencies:
-      commander: 8.3.0
-
   katex@0.16.47:
     dependencies:
       commander: 8.3.0
@@ -9849,7 +9841,7 @@ snapshots:
       es-toolkit: 1.44.0
       github-slugger: 2.0.0
       input-otp: 1.4.2(react-dom@19.2.4(react@19.2.4))(react@19.2.4)
-      katex: 0.16.45
+      katex: 0.16.47
       lucide-react: 0.577.0(react@19.2.4)
       mdast-util-directive: 3.1.0(supports-color@10.2.2)
       mdast-util-to-string: 4.0.0
@@ -10215,7 +10207,7 @@ snapshots:
       d3-sankey: 0.12.3
       dagre-d3-es: 7.0.14
       dayjs: 1.11.23
-      dompurify: 3.4.1
+      dompurify: 3.4.16
       es-toolkit: 1.46.1
       fastdom: 1.0.12
       katex: 0.16.47
@@ -10334,7 +10326,7 @@ snapshots:
     dependencies:
       '@types/katex': 0.16.8
       devlop: 1.1.0
-      katex: 0.16.45
+      katex: 0.16.47
       micromark-factory-space: 2.0.1
       micromark-util-character: 2.1.1
       micromark-util-symbol: 2.0.1
@@ -10875,7 +10867,7 @@ snapshots:
 
   property-information@7.1.0: {}
 
-  proxy-addr@2.0.7:
+  proxy-addr@2.0.8:
     dependencies:
       forwarded: 0.2.0
       ipaddr.js: 1.9.1
@@ -11048,7 +11040,7 @@ snapshots:
       '@types/katex': 0.16.8
       hast-util-from-html-isomorphic: 2.0.0
       hast-util-to-text: 4.0.2
-      katex: 0.16.45
+      katex: 0.16.47
       unist-util-visit-parents: 6.0.2
       vfile: 6.0.3