feat(toolrate): rebrand to toolr + logo links home

- visible brand text changed to toolr (sidebar, mobile header, topbar
  fallback, login, 404, home heading, index.html title/og/twitter meta)
- brand logo now links to / in sidebar, mobile header, login, 404
- internal identifiers unchanged: package name, localStorage key

artifacts/toolrate/src/components/layout.tsx

@@ -26,10 +26,10 @@ export function Layout({ children }: { children: React.ReactNode }) {
     <div className="flex min-h-screen bg-background text-foreground">
       <aside className="w-64 border-r bg-card flex flex-col hidden md:flex">
         <div className="p-6 border-b">
-          <div className="flex items-center gap-2 text-primary font-bold text-xl">
+          <Link href="/" className="flex items-center gap-2 text-primary font-bold text-xl">
             <Wrench className="w-6 h-6" />
-            <span>ToolRate</span>
-          </div>
+            <span>toolr</span>
+          </Link>
         </div>
         <nav className="flex-1 p-4 space-y-2">
           {links.map((link) => {
@@ -99,15 +99,15 @@ export function Layout({ children }: { children: React.ReactNode }) {
       <main className="flex-1 flex flex-col min-w-0">
         <header className="hidden md:flex items-center justify-between border-b bg-card px-6 py-3">
           <h1 className="text-sm font-semibold text-muted-foreground">
-            {activeLink?.label ?? "ToolRate"}
+            {activeLink?.label ?? "toolr"}
           </h1>
           <ThemeToggle />
         </header>
         <header className="md:hidden border-b p-4 flex items-center justify-between bg-card">
-          <div className="flex items-center gap-2 text-primary font-bold text-lg">
+          <Link href="/" className="flex items-center gap-2 text-primary font-bold text-lg">
             <Wrench className="w-5 h-5" />
-            <span>ToolRate</span>
-          </div>
+            <span>toolr</span>
+          </Link>
           <div className="flex items-center gap-1">
             <ThemeToggle />
             {!isLoading && (