Possible to copy the key field to another on INSERT?

[W. D.]

When creating a record, the first field (KeyField)...

  KeyField        BIGINT UNSIGNED NOT NULL AUTO_INCREMENT

...is it possible to copy this auto-generated value into
another field when using the same INSERT that creates the record?

Or would I have to use an UPDATE query using LAST_INSERT_ID()
immediately after the INSERT statement?

Thanks for any ideas you have.

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