diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index f5d1af2..f5d2307 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -4054,10 +4054,6 @@ 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
@@ -4866,8 +4862,8 @@ 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:
@@ -9043,7 +9039,7 @@ 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)
@@ -9607,10 +9603,6 @@ 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
@@ -9810,7 +9802,7 @@ 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
@@ -10295,7 +10287,7 @@ 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
@@ -10834,7 +10826,7 @@ 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
@@ -11007,7 +10999,7 @@ 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