chore: configure prettier with ignore rules and format scripts + running format

pnpm-lock.yaml

@@ -20,6 +20,9 @@ importers:
       eslint-config-prettier:
         specifier: ^10.1.8
         version: 10.1.8(eslint@10.0.3)
+      prettier:
+        specifier: ^3.8.1
+        version: 3.8.1
       typescript:
         specifier: ^5.9.3
         version: 5.9.3
@@ -425,6 +428,11 @@ packages:
     resolution: {integrity: sha512-vkcDPrRZo1QZLbn5RLGPpg/WmIQ65qoWWhcGKf/b5eplkkarX0m9z8ppCat4mlOqUsWpyNuYgO3VRyrYHSzX5g==}
     engines: {node: '>= 0.8.0'}
 
+  prettier@3.8.1:
+    resolution: {integrity: sha512-UOnG6LftzbdaHZcKoPFtOcCKztrQ57WkHDeRD9t/PTQtmT0NHSeWWepj6pS0z/N7+08BHFDQVUrfmfMRcZwbMg==}
+    engines: {node: '>=14'}
+    hasBin: true
+
   punycode@2.3.1:
     resolution: {integrity: sha512-vYt7UD1U9Wg6138shLtLOvdAu+8DsC/ilFtEVHcH+wydcSpNE20AfSOduf6MkRFahL5FY7X1oU7nKVZFtfq8Fg==}
     engines: {node: '>=6'}
@@ -917,6 +925,8 @@ snapshots:
 
   prelude-ls@1.2.1: {}
 
+  prettier@3.8.1: {}
+
   punycode@2.3.1: {}
 
   require-directory@2.1.1: {}