collab: Save Customer name and billing address to Customer on checkout (#33385)

We are collecting billing address and name on checkout now (for tax) but
we're not saving it back to the Customer level. Updating the Checkout
Session code to make`customer_update.address` equal to `auto`, instead
of the default `never`, as well as the same for `customer_update.name`.

Release Notes:

- N/A

crates/collab/src/tests/stripe_billing_tests.rs

@@ -8,8 +8,9 @@ use crate::stripe_billing::StripeBilling;
 use crate::stripe_client::{
     FakeStripeClient, StripeBillingAddressCollection, StripeCheckoutSessionMode,
     StripeCheckoutSessionPaymentMethodCollection, StripeCreateCheckoutSessionLineItems,
-    StripeCreateCheckoutSessionSubscriptionData, StripeCustomerId, StripeMeter, StripeMeterId,
-    StripePrice, StripePriceId, StripePriceRecurring, StripeSubscription, StripeSubscriptionId,
+    StripeCreateCheckoutSessionSubscriptionData, StripeCustomerId, StripeCustomerUpdate,
+    StripeCustomerUpdateAddress, StripeCustomerUpdateName, StripeMeter, StripeMeterId, StripePrice,
+    StripePriceId, StripePriceRecurring, StripeSubscription, StripeSubscriptionId,
     StripeSubscriptionItem, StripeSubscriptionItemId, StripeSubscriptionTrialSettings,
     StripeSubscriptionTrialSettingsEndBehavior,
     StripeSubscriptionTrialSettingsEndBehaviorMissingPaymentMethod, UpdateSubscriptionItems,
@@ -431,6 +432,14 @@ async fn test_checkout_with_zed_pro() {
             call.billing_address_collection,
             Some(StripeBillingAddressCollection::Required)
         );
+        assert_eq!(
+            call.customer_update,
+            Some(StripeCustomerUpdate {
+                address: Some(StripeCustomerUpdateAddress::Auto),
+                name: Some(StripeCustomerUpdateName::Auto),
+                shipping: None,
+            })
+        );
     }
 }
 
@@ -516,6 +525,14 @@ async fn test_checkout_with_zed_pro_trial() {
             call.billing_address_collection,
             Some(StripeBillingAddressCollection::Required)
         );
+        assert_eq!(
+            call.customer_update,
+            Some(StripeCustomerUpdate {
+                address: Some(StripeCustomerUpdateAddress::Auto),
+                name: Some(StripeCustomerUpdateName::Auto),
+                shipping: None,
+            })
+        );
     }
 
     // Successful checkout with extended trial.
@@ -574,5 +591,13 @@ async fn test_checkout_with_zed_pro_trial() {
             call.billing_address_collection,
             Some(StripeBillingAddressCollection::Required)
         );
+        assert_eq!(
+            call.customer_update,
+            Some(StripeCustomerUpdate {
+                address: Some(StripeCustomerUpdateAddress::Auto),
+                name: Some(StripeCustomerUpdateName::Auto),
+                shipping: None,
+            })
+        );
     }
 }