fix(login): show the Quick Connect code in an auto-dismissing sheet

The code was shown in a native Alert, which has no programmatic
dismiss: after another device authorized the code and polling logged
the user in, the alert stayed open on top of the app.

Replace it with an in-app bottom sheet that closes itself once the
session is authorized. Dismissing only hides the code - polling
continues so login still completes if the code is authorized
afterwards; polling stops when leaving the login screen (parity with
TVLogin). The code can be tapped to copy (expo-clipboard, probed via
requireOptionalNativeModule so builds without the native module just
no-op).

components/login/QuickConnectCodeModal.tsx

@@ -0,0 +1,137 @@
+import { Ionicons } from "@expo/vector-icons";
+import {
+  BottomSheetBackdrop,
+  type BottomSheetBackdropProps,
+  BottomSheetModal,
+  BottomSheetView,
+} from "@gorhom/bottom-sheet";
+import { requireOptionalNativeModule } from "expo-modules-core";
+import type React from "react";
+import { useCallback, useEffect, useMemo, useRef } from "react";
+import { useTranslation } from "react-i18next";
+import { TouchableOpacity, View } from "react-native";
+import { useSafeAreaInsets } from "react-native-safe-area-context";
+import { toast } from "sonner-native";
+import { Button } from "../Button";
+import { Text } from "../common/Text";
+
+interface Props {
+  /** The Quick Connect code to display, or null when hidden. */
+  code: string | null;
+  onClose: () => void;
+}
+
+/**
+ * Shows the Quick Connect code while the app polls for authorization.
+ * In-app sheet instead of a native Alert so it can dismiss itself once the
+ * session is authorized — a native alert has no programmatic dismiss and
+ * lingers over the app after login completes.
+ */
+export const QuickConnectCodeModal: React.FC<Props> = ({ code, onClose }) => {
+  const { t } = useTranslation();
+  const insets = useSafeAreaInsets();
+  const bottomSheetModalRef = useRef<BottomSheetModal>(null);
+  const snapPoints = useMemo(() => ["50%"], []);
+  const isPresentedRef = useRef(false);
+
+  // Keep the last code around so the dismiss animation doesn't flash empty
+  // when the parent clears the code to close the sheet.
+  const lastCodeRef = useRef<string | null>(null);
+  if (code) lastCodeRef.current = code;
+
+  useEffect(() => {
+    if (code) {
+      bottomSheetModalRef.current?.present();
+    } else if (isPresentedRef.current) {
+      bottomSheetModalRef.current?.dismiss();
+      isPresentedRef.current = false;
+    }
+  }, [code]);
+
+  const handleSheetChanges = useCallback(
+    (index: number) => {
+      if (index >= 0) {
+        isPresentedRef.current = true;
+      } else if (index === -1 && isPresentedRef.current) {
+        isPresentedRef.current = false;
+        onClose();
+      }
+    },
+    [onClose],
+  );
+
+  const renderBackdrop = useCallback(
+    (props: BottomSheetBackdropProps) => (
+      <BottomSheetBackdrop
+        {...props}
+        disappearsOnIndex={-1}
+        appearsOnIndex={0}
+      />
+    ),
+    [],
+  );
+
+  const copyCode = useCallback(async () => {
+    const value = code ?? lastCodeRef.current;
+    if (!value) return;
+    // Builds that don't ship the expo-clipboard native module yet: probe with
+    // requireOptionalNativeModule (returns null instead of throwing/logging)
+    // and skip — importing the JS wrapper there would error out.
+    if (!requireOptionalNativeModule("ExpoClipboard")) return;
+    const Clipboard = await import("expo-clipboard");
+    await Clipboard.setStringAsync(value);
+    toast.success(t("login.code_copied"));
+  }, [code, t]);
+
+  return (
+    <BottomSheetModal
+      ref={bottomSheetModalRef}
+      snapPoints={snapPoints}
+      onChange={handleSheetChanges}
+      handleIndicatorStyle={{ backgroundColor: "white" }}
+      backgroundStyle={{ backgroundColor: "#171717" }}
+      backdropComponent={renderBackdrop}
+    >
+      <BottomSheetView
+        style={{
+          flex: 1,
+          paddingLeft: Math.max(16, insets.left),
+          paddingRight: Math.max(16, insets.right),
+          paddingBottom: Math.max(16, insets.bottom),
+        }}
+      >
+        <View className='flex-1'>
+          <Text className='font-bold text-2xl text-neutral-100'>
+            {t("login.quick_connect")}
+          </Text>
+          <TouchableOpacity
+            className='mt-6 p-6 border border-neutral-800 rounded-xl bg-neutral-900 flex flex-row items-center justify-center'
+            onPress={copyCode}
+          >
+            <Text
+              className='text-center font-bold text-5xl text-neutral-100'
+              style={{ letterSpacing: 10 }}
+            >
+              {code ?? lastCodeRef.current}
+            </Text>
+            <Ionicons
+              name='copy-outline'
+              size={22}
+              color='white'
+              style={{ opacity: 0.4, marginLeft: 16 }}
+            />
+          </TouchableOpacity>
+          <Text className='mt-2 text-neutral-500 text-center text-xs'>
+            {t("login.tap_code_to_copy")}
+          </Text>
+          <Text className='mt-3 mb-5 text-neutral-400 text-center px-4'>
+            {t("login.quick_connect_instructions")}
+          </Text>
+          <Button className='mt-auto' color='purple' onPress={onClose}>
+            {t("login.got_it")}
+          </Button>
+        </View>
+      </BottomSheetView>
+    </BottomSheetModal>
+  );
+};