Register: auto sign-in to /me and speed/cleanup improvements

- Send the verification email after the response via after() so it
  never blocks sign-up
- Invalidate the cached login lookup right after account creation so
  the automatic sign-in always finds the fresh row
- Auto sign in with the submitted credentials and go straight to /me,
  with a fallback to /login?registered=1 if sign-in is refused (e.g.
  email verification required)
- Cache the register page's online/latest user queries to cut DB load
  under traffic
- Fix terms checkbox label double-toggle cancelling the selection
- Add pages.register.redirecting translation to all locales

src/app/(site)/register/page.tsx

@@ -33,18 +33,20 @@ export default async function RegisterPage() {
 				.where(eq(User.online, "1"))
 				.then((rows) => rows[0]?.total ?? 0),
 		).catch(() => 0),
-		db
-			.select({ username: User.username, look: User.look })
-			.from(User)
-			.where(eq(User.online, "1"))
-			.limit(8)
-			.catch(() => []),
-		db
-			.select({ username: User.username, look: User.look })
-			.from(User)
-			.orderBy(desc(User.accountCreated))
-			.limit(8)
-			.catch(() => []),
+		cached("register_online_users", 10_000, () =>
+			db
+				.select({ username: User.username, look: User.look })
+				.from(User)
+				.where(eq(User.online, "1"))
+				.limit(8),
+		).catch(() => []),
+		cached("register_latest_users", 30_000, () =>
+			db
+				.select({ username: User.username, look: User.look })
+				.from(User)
+				.orderBy(desc(User.accountCreated))
+				.limit(8),
+		).catch(() => []),
 	]);
 
 	return (