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In this paper, we investigate the power-suppressed contributions from two-particle and three-particle twist-4 light-cone distribution amplitudes (LCDAs) of a photon within the framework of light-cone sum rules. Compared with the leading twist LCDA result, the contribution from three-particle twist-4 LCDAs is not suppressed in the expansion by 1/Q2, so that the power corrections considered in this work can give rise to a sizable contribution, especially at the low−Q2 region. According to our result, the power-suppressed contributions should be included in the determination of the Gegenbauer moments of pion LCDAs with the pion transition form factor.