Three TESS dips leave 12 repeat periods above one day for TOI 3500.02 if each orbit has one matching dip

We measure deep dips in TESS Sectors 64, 90, and 101 for TIC 443666343, also called TOI 3500.02. Their centres are BTJD 3056.692874, 3757.320767, and 4107.639027. Their depths are near 0.8% and their durations are near eight hours. The public SPOC report through Sector 96 already pairs the first two dips at 700.628 days. This work adds a measurement of the Sector 101 dip and a period test. If one matching event occurs per orbit, the three times give periods near 350.315138 days divided by an integer. We test all 350 integer periods of at least one day against the good samples in the four available sectors. A period is excluded only if a covered predicted event has a depth upper score below half the smallest fitted depth. We allow each predicted centre to move by 0.02 day and certify the exclusions across this continuous range. The data exclude 338 periods. Twelve periods from 17.515757 to 350.315138 days remain. The weakest exclusion has a margin of 3144 parts per million below the 4004-part-per-million threshold. Direct-fit checks and 80 inserted signals test the depth estimator. Another extraction of the TESS images also shows the dips. A known star 3.74 arcseconds away and a Sector 101 centroid and pointing change leave the source uncertain. A binary with two similar eclipses per orbit, including a period near 700.63 days, remains possible. This is a conditional repeat-period result, not a validated planet. The package preserves code, eight source light curves, source hashes, the TOI snapshot, tables, figures, and offline reproduction instructions.

TESS · TOI 3500.02 · TIC 443666343 · period aliases · transit timing · eclipsing binary · public astronomical data · reproducible analysis