diff --git a/package-lock.json b/package-lock.json
index 249b79c..f6e89f5 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -10,24 +10,28 @@
       "devDependencies": {
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         "lint-staged": "16.2.7",
-        "markdownlint-cli": "0.45.0"
+        "markdownlint-cli": "0.47.0"
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-    "node_modules/@isaacs/cliui": {
-      "version": "8.0.2",
-      "resolved": "https://registry.npmjs.org/@isaacs/cliui/-/cliui-8.0.2.tgz",
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+    "node_modules/@isaacs/balanced-match": {
+      "version": "4.0.1",
+      "resolved": "https://registry.npmjs.org/@isaacs/balanced-match/-/balanced-match-4.0.1.tgz",
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+      "dev": true,
+      "engines": {
+        "node": "20 || >=22"
+      }
+    },
+    "node_modules/@isaacs/brace-expansion": {
+      "version": "5.0.0",
+      "resolved": "https://registry.npmjs.org/@isaacs/brace-expansion/-/brace-expansion-5.0.0.tgz",
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-        "strip-ansi-cjs": "npm:strip-ansi@^6.0.1",
-        "wrap-ansi": "^8.1.0",
-        "wrap-ansi-cjs": "npm:wrap-ansi@^7.0.0"
+        "@isaacs/balanced-match": "^4.0.1"
       },
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-        "node": ">=12"
+        "node": "20 || >=22"
       }
     },
     "node_modules/@types/debug": {
@@ -40,9 +44,9 @@
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-      "resolved": "https://registry.npmjs.org/@types/katex/-/katex-0.16.7.tgz",
-      "integrity": "sha512-HMwFiRujE5PjrgwHQ25+bsLJgowjGjm5Z8FVSf0N6PwgJrwxH0QxzHYDcKsTfV3wva0vzrpqMTJS2jXPr5BMEQ==",
+      "version": "0.16.8",
+      "resolved": "https://registry.npmjs.org/@types/katex/-/katex-0.16.8.tgz",
+      "integrity": "sha512-trgaNyfU+Xh2Tc+ABIb44a5AYUpicB3uwirOioeOkNPPbmgRNtcWyDeeFRzjPZENO9Vq8gvVqfhaaXWLlevVwg==",
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@@ -103,21 +107,6 @@
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       "dev": true
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-    "node_modules/balanced-match": {
-      "version": "1.0.2",
-      "resolved": "https://registry.npmjs.org/balanced-match/-/balanced-match-1.0.2.tgz",
-      "integrity": "sha512-3oSeUO0TMV67hN1AmbXsK4yaqU7tjiHlbxRDZOpH0KW9+CeX4bRAaX0Anxt0tx2MrpRpWwQaPwIlISEJhYU5Pw==",
-      "dev": true
-    },
-    "node_modules/brace-expansion": {
-      "version": "2.0.1",
-      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-2.0.1.tgz",
-      "integrity": "sha512-XnAIvQ8eM+kC6aULx6wuQiwVsnzsi9d3WxzV3FpWTGA19F621kwdbsAcFKXgKUHZWsy+mY6iL1sHTxWEFCytDA==",
-      "dev": true,
-      "dependencies": {
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-      }
-    },
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       "resolved": "https://registry.npmjs.org/braces/-/braces-3.0.3.tgz",
@@ -193,40 +182,6 @@
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-      "funding": {
-        "url": "https://github.com/sponsors/sindresorhus"
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@@ -235,32 +190,18 @@
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-      "resolved": "https://registry.npmjs.org/commander/-/commander-13.1.0.tgz",
-      "integrity": "sha512-/rFeCpNJQbhSZjGVwO9RFV3xPqbnERS8MmIQzCtD/zl6gpJuV/bMLuN92oG3F7d8oDEHHRrujSXNUr8fpjntKw==",
-      "dev": true,
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-      "resolved": "https://registry.npmjs.org/cross-spawn/-/cross-spawn-7.0.3.tgz",
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+      "version": "14.0.2",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-14.0.2.tgz",
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-        "shebang-command": "^2.0.0",
-        "which": "^2.0.1"
-      },
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-        "node": ">= 8"
+        "node": ">=20"
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-      "version": "4.4.1",
-      "resolved": "https://registry.npmjs.org/debug/-/debug-4.4.1.tgz",
-      "integrity": "sha512-KcKCqiftBJcZr++7ykoDIEwSa3XWowTfNPo92BYxjXiyYEVrUQh2aLyhxBCwww+heortUFxEJYcRzosstTEBYQ==",
+      "version": "4.4.3",
+      "resolved": "https://registry.npmjs.org/debug/-/debug-4.4.3.tgz",
+      "integrity": "sha512-RGwwWnwQvkVfavKVt22FGLw+xYSdzARwm0ru6DhTVA3umU5hZc28V3kO4stgYryrTlLpuvgI9GiijltAjNbcqA==",
       "dev": true,
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@@ -275,9 +216,9 @@
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+      "version": "1.3.0",
+      "resolved": "https://registry.npmjs.org/decode-named-character-reference/-/decode-named-character-reference-1.3.0.tgz",
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@@ -318,18 +259,6 @@
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-      "resolved": "https://registry.npmjs.org/eastasianwidth/-/eastasianwidth-0.2.0.tgz",
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@@ -375,22 +304,6 @@
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-      "dev": true,
-      "dependencies": {
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-        "signal-exit": "^4.0.1"
-      },
-      "engines": {
-        "node": ">=14"
-      },
-      "funding": {
-        "url": "https://github.com/sponsors/isaacs"
-      }
-    },
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       "resolved": "https://registry.npmjs.org/get-east-asian-width/-/get-east-asian-width-1.4.0.tgz",
@@ -403,29 +316,6 @@
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       }
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-      "resolved": "https://registry.npmjs.org/glob/-/glob-11.0.2.tgz",
-      "integrity": "sha512-YT7U7Vye+t5fZ/QMkBFrTJ7ZQxInIUjwyAjVj84CYXqgBdv30MFUPGnBR6sQaVq6Is15wYJUsnzTuWaGRBhBAQ==",
-      "dev": true,
-      "dependencies": {
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-        "jackspeak": "^4.0.1",
-        "minimatch": "^10.0.0",
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-        "path-scurry": "^2.0.0"
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-        "glob": "dist/esm/bin.mjs"
-      },
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-        "node": "20 || >=22"
-      },
-      "funding": {
-        "url": "https://github.com/sponsors/isaacs"
-      }
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@@ -442,9 +332,9 @@
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+      "version": "7.0.5",
+      "resolved": "https://registry.npmjs.org/ignore/-/ignore-7.0.5.tgz",
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@@ -493,15 +383,6 @@
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@@ -522,31 +403,10 @@
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-      "dev": true,
-      "dependencies": {
-        "@isaacs/cliui": "^8.0.2"
-      },
-      "engines": {
-        "node": "20 || >=22"
-      },
-      "funding": {
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+      "version": "4.1.1",
+      "resolved": "https://registry.npmjs.org/js-yaml/-/js-yaml-4.1.1.tgz",
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       "dev": true,
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@@ -571,9 +431,9 @@
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+      "version": "0.16.28",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.28.tgz",
+      "integrity": "sha512-YHzO7721WbmAL6Ov1uzN/l5mY5WWWhJBSW+jq4tkfZfsxmo1hu6frS0EOswvjBUnWE6NtjEs48SFn5CQESRLZg==",
       "dev": true,
       "funding": [
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@@ -628,15 +488,6 @@
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@@ -760,15 +611,6 @@
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@@ -787,9 +629,9 @@
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@@ -799,7 +641,8 @@
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@@ -809,22 +652,23 @@
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-        "glob": "~11.0.2",
-        "ignore": "~7.0.4",
-        "js-yaml": "~4.1.0",
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-        "markdownlint": "~0.38.0",
-        "minimatch": "~10.0.1",
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@@ -1297,9 +1141,9 @@
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@@ -3022,29 +2480,37 @@
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diff --git a/package.json b/package.json
index 71788c5..64151e6 100644
--- a/package.json
+++ b/package.json
@@ -20,7 +20,7 @@
   "devDependencies": {
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     "lint-staged": "16.2.7",
-    "markdownlint-cli": "0.45.0"
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   "lint-staged": {
     "*.md": "markdownlint --config .markdownlint.json --fix"