chore: remove tracked files and align docs theme (#191)

* chore: remove CLAUDE.md and MANUAL_STEPS.md from git tracking

These files contain internal project instructions that should not be
public. Both are now in .gitignore to prevent re-tracking.

* chore: remove build output and generated files from git tracking

Remove backend/public/ (frontend build artifacts) and backend/cookies.txt
from tracking. Add demo-video/ and website/ to .gitignore.

* docs: align mintlify theme with website and app branding

Update colors to brand cyan, add Geist font, dark mode default,
gradient background, navbar with GitHub link and CTA, and footer
matching the website structure.

docs/docs.json

@@ -3,16 +3,70 @@
   "theme": "mint",
   "name": "Sencho",
   "colors": {
-    "primary": "#0F172A",
-    "light": "#3B82F6",
-    "dark": "#0F172A"
+    "primary": "#00BEC7",
+    "light": "#0891B2",
+    "dark": "#22D3EE"
   },
   "logo": {
     "light": "/images/logo/logo-light.png",
     "dark": "/images/logo/logo-dark.png",
-    "href": "/"
+    "href": "https://sencho.io"
   },
   "favicon": "/images/logo/favicon.ico",
+  "appearance": {
+    "default": "dark"
+  },
+  "fonts": {
+    "family": "Geist"
+  },
+  "background": {
+    "decoration": "gradient",
+    "color": {
+      "dark": "#0F172A"
+    }
+  },
+  "navbar": {
+    "links": [
+      {
+        "type": "github",
+        "href": "https://github.com/AnsoCode/Sencho"
+      }
+    ],
+    "primary": {
+      "type": "button",
+      "label": "Get Started",
+      "href": "https://sencho.io/#pricing"
+    }
+  },
+  "footer": {
+    "socials": {
+      "github": "https://github.com/AnsoCode/Sencho"
+    },
+    "links": [
+      {
+        "header": "Product",
+        "items": [
+          { "label": "Website", "href": "https://sencho.io" },
+          { "label": "Pricing", "href": "https://sencho.io/#pricing" },
+          { "label": "Changelog", "href": "https://github.com/AnsoCode/Sencho/releases" }
+        ]
+      },
+      {
+        "header": "Community",
+        "items": [
+          { "label": "GitHub", "href": "https://github.com/AnsoCode/Sencho" },
+          { "label": "Contributing", "href": "https://github.com/AnsoCode/Sencho/blob/main/CONTRIBUTING.md" }
+        ]
+      },
+      {
+        "header": "Legal",
+        "items": [
+          { "label": "Terms of Service", "href": "https://sencho.io/terms" },
+          { "label": "Privacy Policy", "href": "https://sencho.io/privacy" }
+        ]
+      }
+    ]
+  },
   "navigation": {
     "groups": [
       {