feat(payment): expand Stripe methods and checkout handoff

src/app/subscription/page.tsx

@@ -5,6 +5,7 @@ import {
 } from "@/lib/analytics/payment_analytics_context";
 import {
   getFirstPaymentSearchParam,
+  parsePaymentAutoRenew,
   parsePaymentReturnSearchParams,
   parseSubscriptionReturnTo,
   type PaymentSearchParams,
@@ -57,6 +58,7 @@ export default async function SubscriptionPage({
       analyticsContext={analyticsContext}
       sourceCharacterSlug={sourceCharacterSlug}
       initialPlanId={initialPlanId}
+      initialAutoRenew={parsePaymentAutoRenew(query.autoRenew)}
       commercialOfferId={commercialOfferId}
       resumeOrderId={resumeOrderId}
       chatActionId={chatActionId}