The Advance Parole is not considered a visa or a re-entry authorization but rather a one-time exception to the rule, meaning it can only be used once. Because once admitted back into the U.S., you will be under parolee status, not a nonimmigrant status.
If you fall into the exception visa categories (H-1, H-4, K-3, K-4, L-1, L-2, V-1, V-2, and V-3), the single re-entry rule does not apply to you.