Is the insurance bought in Chinese mainland still valid after immigration?

I bought insurance in China and immigrated to the United States a few years later. The insurance is valid, but I have to go through the customs formalities first.

1. The customer (the insured, the insured and the beneficiary) shall notify the insurance company one month before leaving the country, and go through relevant procedures, such as policy change, early payment, surrender of additional risks, etc. , the insurance company will issue the relevant approval form.

2. The application for overseas contract preservation service requires the applicant's autograph.