diff --git a/package-lock.json b/package-lock.json
index cae69cf..c89739f 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -1977,10 +1977,10 @@
       "cpu": [
         "arm64"
       ],
-      "dev": true,
       "libc": [
         "glibc"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -1994,10 +1994,10 @@
       "cpu": [
         "arm64"
       ],
-      "dev": true,
       "libc": [
         "musl"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2011,10 +2011,10 @@
       "cpu": [
         "loong64"
       ],
-      "dev": true,
       "libc": [
         "glibc"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2028,10 +2028,10 @@
       "cpu": [
         "loong64"
       ],
-      "dev": true,
       "libc": [
         "musl"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2045,10 +2045,10 @@
       "cpu": [
         "ppc64"
       ],
-      "dev": true,
       "libc": [
         "glibc"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2062,10 +2062,10 @@
       "cpu": [
         "riscv64"
       ],
-      "dev": true,
       "libc": [
         "glibc"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2079,10 +2079,10 @@
       "cpu": [
         "riscv64"
       ],
-      "dev": true,
       "libc": [
         "musl"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2096,10 +2096,10 @@
       "cpu": [
         "s390x"
       ],
-      "dev": true,
       "libc": [
         "glibc"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2113,10 +2113,10 @@
       "cpu": [
         "x64"
       ],
-      "dev": true,
       "libc": [
         "glibc"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2130,10 +2130,10 @@
       "cpu": [
         "x64"
       ],
-      "dev": true,
       "libc": [
         "musl"
       ],
+      "dev": true,
       "license": "MIT",
       "optional": true,
       "os": [
@@ -2487,9 +2487,9 @@
       }
     },
     "node_modules/brace-expansion": {
-      "version": "5.0.9",
-      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-5.0.9.tgz",
-      "integrity": "sha512-ScQ4IuvIEF1TMlP7Zt+vjJ//9zlPb2SDcxWxM3bk8s6t6GGdJ7KO1dCcTidOPJKePW30LE/2cT7wCyPho9/Wxg==",
+      "version": "5.0.12",
+      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-5.0.12.tgz",
+      "integrity": "sha512-YovQ3rzhaLMIrDjNDMkNS01tea93qhEhG5xy8f6+R0l+dw3Ki+5sCoIoI942iuLZTHWogWktgwVDhU09iNEimQ==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
@@ -3782,9 +3782,9 @@
       "license": "MIT"
     },
     "node_modules/glob/node_modules/brace-expansion": {
-      "version": "2.1.4",
-      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-2.1.4.tgz",
-      "integrity": "sha512-hGfVzPxthbf3+2yjg/RBs60cB0FhqBS/zvdV/4wn4/BmN0bNMMHPc4V/BbFieqf1TKAGGAHnY4eSjajCl0f2Xg==",
+      "version": "2.1.7",
+      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-2.1.7.tgz",
+      "integrity": "sha512-uZbew1NqdmPDTMJ8ah1y+b+9QEJrfkXFk3RcTQw3X0jW/xRUvFKsg1CfQdSYGdTbXZWExtU3J3ccxtnfw1Fi0g==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
@@ -5161,9 +5161,9 @@
       }
     },
     "node_modules/katex": {
-      "version": "0.16.47",
-      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.47.tgz",
-      "integrity": "sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==",
+      "version": "0.18.10",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.18.10.tgz",
+      "integrity": "sha512-/B6p9eY9DX7aHBfpkHdpirDTZ5QH9xTwL9y837PWuzuv41O5jFdqNQwVQEQsimY0/iVNkwBY4+4hMfhQ7d4Dbw==",
       "dev": true,
       "funding": [
         "https://opencollective.com/katex",
@@ -5171,20 +5171,20 @@
       ],
       "license": "MIT",
       "dependencies": {
-        "commander": "^8.3.0"
+        "commander": "^15.0.0"
       },
       "bin": {
         "katex": "cli.js"
       }
     },
     "node_modules/katex/node_modules/commander": {
-      "version": "8.3.0",
-      "resolved": "https://registry.npmjs.org/commander/-/commander-8.3.0.tgz",
-      "integrity": "sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==",
+      "version": "15.0.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-15.0.0.tgz",
+      "integrity": "sha512-z67u4ZhzCL/Tydu1lJARtEZYWbWaN7oYLHbsuzocr6y4N6WZAagG3RQ4FW61V1/0+jImpj293XfrcYnd1qxtPg==",
       "dev": true,
       "license": "MIT",
       "engines": {
-        "node": ">= 12"
+        "node": ">=22.12.0"
       }
     },
     "node_modules/keyv": {
@@ -7004,9 +7004,9 @@
       }
     },
     "node_modules/postcss-selector-parser": {
-      "version": "7.1.4",
-      "resolved": "https://registry.npmjs.org/postcss-selector-parser/-/postcss-selector-parser-7.1.4.tgz",
-      "integrity": "sha512-HeP7D2wyhkR+XaK6v4W8oRF62Dsz4flyuczALJp61GckGm42u1saSSJ/0auvcBqxs3jMRFEcPK34At/0JBKdOg==",
+      "version": "7.1.6",
+      "resolved": "https://registry.npmjs.org/postcss-selector-parser/-/postcss-selector-parser-7.1.6.tgz",
+      "integrity": "sha512-7qASPzhKF2l2KLboRZux8CCTRMdGiV08vWmyKzPz22qZ7ZjQBOeY7rNzNoCLSUiftJ7HUq0GERHmxw/t0dCdMw==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
@@ -7405,9 +7405,9 @@
       }
     },
     "node_modules/smol-toml": {
-      "version": "1.7.2",
-      "resolved": "https://registry.npmjs.org/smol-toml/-/smol-toml-1.7.2.tgz",
-      "integrity": "sha512-pXFZ9B2WinEPzxWkMmlYE/oYx2BP+qLrE95wP8tCuK901uLSMGdCb6QSr82z+wnhXkG4+cO+OMLbZB2Cn+97zw==",
+      "version": "1.9.1",
+      "resolved": "https://registry.npmjs.org/smol-toml/-/smol-toml-1.9.1.tgz",
+      "integrity": "sha512-j7WyPdf0CJoutMzMoPLF/bVXHtKZIT9Rb4eGeEbWw8X2t5oirjPgpL+OpaENZrILYaXqYwnVH+qgUwVbl+pUJQ==",
       "dev": true,
       "license": "BSD-3-Clause",
       "engines": {
@@ -7428,9 +7428,9 @@
       }
     },
     "node_modules/source-map-js": {
-      "version": "1.2.1",
-      "resolved": "https://registry.npmjs.org/source-map-js/-/source-map-js-1.2.1.tgz",
-      "integrity": "sha512-UXWMKhLOwVKb728IUtQPXxfYU+usdybtUrK/8uGE8CQMvrhOpwvzDBwj0QhSL7MQc7vIsISBG8VQ8+IDQxpfQA==",
+      "version": "1.2.2",
+      "resolved": "https://registry.npmjs.org/source-map-js/-/source-map-js-1.2.2.tgz",
+      "integrity": "sha512-KGj/8Y43x35aZVDtt+J4mK1hoLGHULMYfSkODJNQjNDC3oW1PqPoxMwo0pLUsWM/UEGzON/NxeHywEfNXNP3Vw==",
       "dev": true,
       "license": "BSD-3-Clause",
       "engines": {
@@ -8099,9 +8099,9 @@
       "license": "MIT"
     },
     "node_modules/test-exclude/node_modules/brace-expansion": {
-      "version": "1.1.18",
-      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-1.1.18.tgz",
-      "integrity": "sha512-Edep/X9fGqVNmzKBVsDYIOtD+z1tuezV70LBjdCst9Tqu76lsnvRiZ6oTic1n+/BIwX6QDGAO94PN4N2SADvtw==",
+      "version": "1.1.21",
+      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-1.1.21.tgz",
+      "integrity": "sha512-9zeA+KLZNNzglF2TPKRQEDyx6Yby7daAkuy8MiPzpXPsYDWi/DRM8jmwUDxokQjYqBpv5DgPiwD4h4ZZSy1Ujw==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
diff --git a/package.json b/package.json
index 180e5c4..d189aec 100644
--- a/package.json
+++ b/package.json
@@ -49,8 +49,9 @@
     "flatted": "^3.4.2",
     "postcss": "^8.5.10",
     "nanoid": "^3.3.18",
-    "brace-expansion@^1.0.0": "^1.1.18",
-    "brace-expansion@^2.0.0": "^2.1.4",
+    "brace-expansion@^1.0.0": "^1.1.21",
+    "brace-expansion@^2.0.0": "^2.1.7",
+    "brace-expansion@^5.0.0": "^5.0.12",
     "anymatch": {
       "picomatch": "^2.3.2"
     },
@@ -66,6 +67,7 @@
     "jest-util": {
       "picomatch": "^4.0.4"
     },
-    "smol-toml": "~1.7.1"
+    "smol-toml": "~1.9.1",
+    "katex": "~0.18.2"
   }
 }