fix(react): refresh the cached user after updateMail

packages/react/src/contexts/user.context.tsx

@@ -93,9 +93,23 @@ export function UserContextProvider(props: PropsWithChildren): JSX.Element {
 
   const updateMail = useCallback(
     async (mail: string): Promise<void> => {
-      return updateMailApi(mail);
+      // The endpoint returns an empty body, so the refreshed user has to be fetched. The refresh is
+      // best-effort, and keeps the previous object when the address did not move — a change pending
+      // mail verification (202) leaves it untouched, and a fresh identity there would re-trigger
+      // effects that watch `user` and re-submit endlessly. A cleared state stays cleared: a refresh
+      // landing after a logout must not put the signed-out user back.
+      setIsUserUpdating(true);
+      return updateMailApi(mail)
+        .then(() =>
+          getUser()
+            .then((refreshed) =>
+              setUser((prev) => (prev && refreshed && refreshed.mail !== prev.mail ? refreshed : prev)),
+            )
+            .catch(() => undefined),
+        )
+        .finally(() => setIsUserUpdating(false));
     },
-    [updateMailApi],
+    [getUser, updateMailApi],
   );
 
   const verifyMail = useCallback(