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In order to constrain the size of the optical continuum emission region in the dwarf Seyfert 1 galaxy NGC 4395 through reverberation mapping, we carried out high-cadence photometric monitoring in thegrizfilter bands on two consecutive nights in 2022 April using the four-channel MuSCAT3 camera on the Faulkes Telescope North at Haleakalā Observatory. Correlated variability across thegrizbands is clearly detected, and ther-,i-, andz-band light curves show lags of${7.72}_{-1.09}^{+1.01}$,${14.16}_{-1.25}^{+1.22}$, and${20.78}_{-2.09}^{+1.99}$minutes with respect to thegband when measured using the full-duration light curves. When lags are measured for each night separately, the Night 2 data exhibit lower cross-correlation amplitudes and shorter lags than the Night 1 light curves. Using the full-duration lags, we find that the lag–wavelength relationship is consistent with theτ∝λ^4/3dependence found for more luminous active galactic nuclei. Combining our results with continuum lags measured for other objects, the lag betweengandzband scales with optical continuum luminosity asτ_gz∝L^0.56±0.05, similar to the scaling of broad-line region size with luminosity, reinforcing recent evidence that diffuse continuum emission from the broad-line region may contribute substantially to optical continuum variability and reverberation lags.