fix: remove zustand and use input and setInput

pnpm-lock.yaml

@@ -86,9 +86,6 @@ dependencies:
   remark-math:
     specifier: ^5.1.1
     version: 5.1.1
-  zustand:
-    specifier: ^4.3.8
-    version: 4.3.8(react@18.2.0)
 
 devDependencies:
   '@tailwindcss/typography':
@@ -5070,22 +5067,6 @@ packages:
   /zod@3.21.4:
     resolution: {integrity: sha512-m46AKbrzKVzOzs/DZgVnG5H55N1sv1M8qZU3A8RIKbs3mrACDNeIOeilDymVb2HdmP8uwshOCF4uJ8uM9rCqJw==}
 
-  /zustand@4.3.8(react@18.2.0):
-    resolution: {integrity: sha512-4h28KCkHg5ii/wcFFJ5Fp+k1J3gJoasaIbppdgZFO4BPJnsNxL0mQXBSFgOgAdCdBj35aDTPvdAJReTMntFPGg==}
-    engines: {node: '>=12.7.0'}
-    peerDependencies:
-      immer: '>=9.0'
-      react: '>=16.8'
-    peerDependenciesMeta:
-      immer:
-        optional: true
-      react:
-        optional: true
-    dependencies:
-      react: 18.2.0
-      use-sync-external-store: 1.2.0(react@18.2.0)
-    dev: false
-
   /zwitch@2.0.4:
     resolution: {integrity: sha512-bXE4cR/kVZhKZX/RjPEflHaKVhUVl85noU3v6b8apfQEc1x4A+zBxjZ4lN8LqGd6WZ3dl98pY4o717VFmoPp+A==}
     dev: false