This was broken since 4.0 and the introduction of user session tokens. The nonces are now tied to session tokens as opposed to user IDs, and thus they change with each re-login.
Custom nonces can be added through the `customize_refresh_nonces` filter. On a successful refresh request the JavaScript API will trigger a `nonce-refresh` event. See widget's update nonce as an example.
props westonruter for initial patch.
fixes#31294.
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