improvement: branding; auth; chat-deploy (#1351)

* improvement: branding; auth; chat-deploy

* improvement: docs favicon

Author: emir-karabeg

apps/docs/public/favicon/apple-touch-icon.png

@@ -1,16 +1,18 @@
 {
-  "name": "Sim",
-  "short_name": "Sim",
+  "name": "MyWebSite",
+  "short_name": "MySite",
   "icons": [
     {
-      "src": "/favicon/android-chrome-192x192.png",
+      "src": "/web-app-manifest-192x192.png",
       "sizes": "192x192",
-      "type": "image/png"
+      "type": "image/png",
+      "purpose": "maskable"
     },
     {
-      "src": "/favicon/android-chrome-512x512.png",
+      "src": "/web-app-manifest-512x512.png",
       "sizes": "512x512",
-      "type": "image/png"
+      "type": "image/png",
+      "purpose": "maskable"
     }
   ],
   "theme_color": "#ffffff",

apps/docs/public/favicon/favicon-16x16.png

@@ -496,7 +496,7 @@ export default function LoginPage({
           className={`${buttonClass} flex w-full items-center justify-center gap-2 rounded-[10px] border font-medium text-[15px] text-white transition-all duration-200`}
           disabled={isLoading}
         >
-          {isLoading ? 'Signing in...' : 'Sign In'}
+          {isLoading ? 'Signing in...' : 'Sign in'}
         </Button>
       </form>
 
@@ -529,7 +529,7 @@ export default function LoginPage({
       </div>
 
       <div
-        className={`${inter.className} auth-text-muted fixed right-0 bottom-0 left-0 z-50 pb-8 text-center font-[340] text-[13px] leading-relaxed`}
+        className={`${inter.className} auth-text-muted absolute right-0 bottom-0 left-0 px-8 pb-8 text-center font-[340] text-[13px] leading-relaxed sm:px-8 md:px-[44px]`}
       >
         By signing in, you agree to our{' '}
         <Link