Top: TESS SAP data for TOI-4529 of the consecutive Sectors 42, 43. Sector 70 is not included in this analysis to avoid the effect of the large-gap window function that appears in the periodogram. Bottom: Ground-based long-term photometric data for TOI-4529. The left panels show the relative flux. Red crosses mark are outliers not used in the analysis. The right panels show the GLS periodograms of the flux, with the horizontal dashed line showing the 3σ(0.13%) FAP, and the vertical red line showing the period of the most significant peak.