feat(ui): Liquid Glass + Aceternity 컴포넌트 도입 (clsx·framer-motion·tailwind-merge)

- LiquidGlass: GlassButton·GlassFilter (Apple Liquid Glass 효과)
- 3d-card-effect: 마우스 추적 3D 카드 래퍼
- sparkles-text: SparklesText·SparklesOverlay
- lib/utils.ts: cn() (clsx + tailwind-merge)

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

package-lock.json

@@ -15,7 +15,9 @@
         "@supabase/ssr": "^0.5.2",
         "@supabase/supabase-js": "^2.99.0",
         "cheerio": "^1.2.0",
+        "clsx": "^2.1.1",
         "dotenv": "^17.3.1",
+        "framer-motion": "^12.38.0",
         "lunar-javascript": "^1.7.7",
         "next": "16.1.6",
         "openai": "^6.21.0",
@@ -24,7 +26,8 @@
         "react-markdown": "^9.0.1",
         "remark-gfm": "^4.0.0",
         "resend": "^6.9.1",
-        "solarlunar": "^2.0.7"
+        "solarlunar": "^2.0.7",
+        "tailwind-merge": "^3.5.0"
       },
       "devDependencies": {
         "@tailwindcss/postcss": "^4",
@@ -3237,6 +3240,15 @@
         "url": "https://github.com/chalk/wrap-ansi?sponsor=1"
       }
     },
+    "node_modules/clsx": {
+      "version": "2.1.1",
+      "resolved": "https://registry.npmjs.org/clsx/-/clsx-2.1.1.tgz",
+      "integrity": "sha512-eYm0QWBtUrBWZWG0d386OGAw16Z995PiOVo2B7bjWSbHedGl5e0ZWaq65kOGgUSNesEIDkB9ISbTg/JK9dhCZA==",
+      "license": "MIT",
+      "engines": {
+        "node": ">=6"
+      }
+    },
     "node_modules/color-convert": {
       "version": "2.0.1",
       "resolved": "https://registry.npmjs.org/color-convert/-/color-convert-2.0.1.tgz",
@@ -4561,6 +4573,33 @@
         "node": ">=12.20.0"
       }
     },
+    "node_modules/framer-motion": {
+      "version": "12.38.0",
+      "resolved": "https://registry.npmjs.org/framer-motion/-/framer-motion-12.38.0.tgz",
+      "integrity": "sha512-rFYkY/pigbcswl1XQSb7q424kSTQ8q6eAC+YUsSKooHQYuLdzdHjrt6uxUC+PRAO++q5IS7+TamgIw1AphxR+g==",
+      "license": "MIT",
+      "dependencies": {
+        "motion-dom": "^12.38.0",
+        "motion-utils": "^12.36.0",
+        "tslib": "^2.4.0"
+      },
+      "peerDependencies": {
+        "@emotion/is-prop-valid": "*",
+        "react": "^18.0.0 || ^19.0.0",
+        "react-dom": "^18.0.0 || ^19.0.0"
+      },
+      "peerDependenciesMeta": {
+        "@emotion/is-prop-valid": {
+          "optional": true
+        },
+        "react": {
+          "optional": true
+        },
+        "react-dom": {
+          "optional": true
+        }
+      }
+    },
     "node_modules/function-bind": {
       "version": "1.1.2",
       "resolved": "https://registry.npmjs.org/function-bind/-/function-bind-1.1.2.tgz",
@@ -7249,6 +7288,21 @@
         "node": ">=16 || 14 >=14.17"
       }
     },
+    "node_modules/motion-dom": {
+      "version": "12.38.0",
+      "resolved": "https://registry.npmjs.org/motion-dom/-/motion-dom-12.38.0.tgz",
+      "integrity": "sha512-pdkHLD8QYRp8VfiNLb8xIBJis1byQ9gPT3Jnh2jqfFtAsWUA3dEepDlsWe/xMpO8McV+VdpKVcp+E+TGJEtOoA==",
+      "license": "MIT",
+      "dependencies": {
+        "motion-utils": "^12.36.0"
+      }
+    },
+    "node_modules/motion-utils": {
+      "version": "12.36.0",
+      "resolved": "https://registry.npmjs.org/motion-utils/-/motion-utils-12.36.0.tgz",
+      "integrity": "sha512-eHWisygbiwVvf6PZ1vhaHCLamvkSbPIeAYxWUuL3a2PD/TROgE7FvfHWTIH4vMl798QLfMw15nRqIaRDXTlYRg==",
+      "license": "MIT"
+    },
     "node_modules/ms": {
       "version": "2.1.3",
       "resolved": "https://registry.npmjs.org/ms/-/ms-2.1.3.tgz",
@@ -9049,6 +9103,16 @@
         "uuid": "^10.0.0"
       }
     },
+    "node_modules/tailwind-merge": {
+      "version": "3.5.0",
+      "resolved": "https://registry.npmjs.org/tailwind-merge/-/tailwind-merge-3.5.0.tgz",
+      "integrity": "sha512-I8K9wewnVDkL1NTGoqWmVEIlUcB9gFriAEkXkfCjX5ib8ezGxtR3xD7iZIxrfArjEsH7F1CHD4RFUtxefdqV/A==",
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/dcastil"
+      }
+    },
     "node_modules/tailwindcss": {
       "version": "4.1.18",
       "resolved": "https://registry.npmjs.org/tailwindcss/-/tailwindcss-4.1.18.tgz",