refactor: convert to bun workspaces monorepo

- Move web app into apps/web/
- Create packages/shared/ with shared types
- Create plugins/decky-vault/ scaffold
- Root package.json manages workspaces only

apps/web/app/(auth)/forgot-password/page.tsx

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+import ForgotPasswordForm from "@/components/auth/forgot-password-form"
+
+export default function ForgotPasswordPage() {
+    return <ForgotPasswordForm />
+}

apps/web/app/(auth)/layout.tsx

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+import type { Metadata } from "next"
+import Image from "next/image"
+import Link from "next/link"
+import logo from "@/app/icon.png"
+
+export const metadata: Metadata = {
+    title: "Authentication",
+}
+
+export default function AuthLayout({
+    children,
+}: {
+    children: React.ReactNode
+}) {
+    return (
+        <div className="min-h-[calc(100vh-3.6rem)] flex items-center justify-center px-4 relative overflow-hidden">
+            {/* Background decorative orbs */}
+            <div className="absolute top-20 left-10 w-48 h-48 rounded-full bg-primary/10 blur-3xl pointer-events-none" />
+            <div className="absolute bottom-20 right-10 w-36 h-36 rounded-full bg-secondary/15 blur-2xl pointer-events-none" />
+
+            {/* Auth card */}
+            <div className="w-full max-w-md bg-text/5 border border-border rounded-xl p-8 relative z-10">
+                {/* Logo */}
+                <Link
+                    href="/"
+                    className="flex flex-col items-center gap-2 mb-8"
+                >
+                    <Image
+                        src={logo}
+                        alt="DeckyVault Logo"
+                        className="h-10 w-auto"
+                    />
+                    <span className="text-lg font-bold text-text">
+                        DeckyVault
+                    </span>
+                </Link>
+
+                {children}
+            </div>
+        </div>
+    )
+}

apps/web/app/(auth)/login/page.tsx

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+import { Suspense } from "react"
+import LoginForm from "@/components/auth/login-form"
+
+export default function LoginPage() {
+    return (
+        <Suspense>
+            <LoginForm />
+        </Suspense>
+    )
+}

apps/web/app/(auth)/reset-password/page.tsx

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+import { Suspense } from "react"
+import ResetPasswordForm from "@/components/auth/reset-password-form"
+import { redirect } from "next/navigation"
+
+interface PageProps {
+    searchParams: Promise<{ email?: string }>
+}
+
+export default async function ResetPasswordPage({ searchParams }: PageProps) {
+    const { email } = await searchParams
+
+    if (!email) {
+        redirect("/forgot-password")
+    }
+
+    return (
+        <Suspense>
+            <ResetPasswordForm email={email} />
+        </Suspense>
+    )
+}

apps/web/app/(auth)/signup/page.tsx

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+import { Suspense } from "react"
+import SignupWizard from "@/components/auth/signup-wizard"
+
+export default function SignupPage() {
+    return (
+        <Suspense>
+            <SignupWizard />
+        </Suspense>
+    )
+}