In parasitic mode you can power the sensor using the data line (the Vin pin on the sensor is grounded). This way you can run the sensor with only one wire (+ GND). The sensor basically "sucks up and buffers" enough power from the data line to measure temperature and return a reading. It does not work too well on long wires and/or if the power is not that great.
By the way, I just rewired the sensor the "classic" way and it works fine.
The DHT22 and the TEC work fine as well
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