React-redux and React Native error handling for expired JWT

I have a system where the authentication is based around JWT. I have a JWT auth token, and a refresh token on the client. The refresh token is stored in the database on the server, and is used to refresh the JWT once the JWT expires every 12 hours - pretty standard setup I believe.

My issue is incorporating it in to my React Native project and handling token expiration. The user will likely be performing many API calls to their "protected" areas which require the JWT, but once the JWT expires it will send back a "UnauthorizedError" like so:

router.use('/protected', ejwt({secret: config.secret}));
//catch any errors if the JWT is not valid
router.use((err, req, res, next) => {
  if (err.name === 'UnauthorizedError') {
    res.status(401).send({
      success: false,
      error: "UnauthorizedError"
    });
  }
});

This will send back to the RN app that the JWT has expired, but at this point I would like the app to send another request back to the server generate a new JWT, but I'm not sure of a way to do this most efficiently for every API call initiated from my app. Each API call could call a function to check the server if the returned value is "UnauthorizedError", but I know this isn't the best way:

return AuthApi.someApiCall(token).then(response => {
    if(response.success){
        //do some success stuff
    }else{
        //this seems bad to be repeated for every API call
        checkToken(response).then(() => {
            dispatch(updateAuthToken());
        });
    }
})

I've been looking around and Redux middleware looks promising, but I don't know if there's a more established way perhaps, or anyone has any other thoughts?

Thanks!