"It's Urban Heat Island effect? The warming trend is the same in rural and urban areas, measured by thermometers and satellites."

What absolute bunkum! here are two charts of US temperatures, compare the temperatures in the top chart from 2005 to the bottom chart that is from weather stations in pristine rural areas.
The top chart is affected by the urban heat island effect,

U.S. Surface Temperatures | GlobalChange.gov

U.S Surface Temperature

January 2024 | -0.14°F (-0.08°C)

US Climate Reference Network (data updated 10-15th of month)

The US Climate Reference Network record from 2005 shows no obvious warming during this period. The graph above is created monthly by NOAA.

The graph shows the Average Surface Temperature Anomaly for the contiguous United States since 2005. The data comes from the U.S. Climate Reference Network (USCRN) which is a properly sited (away from human influences and infrastructure) and state-of-the-art weather network consisting of 114 stations in the USA.

These station locations were chosen to avoid warm biases from Urban Heat Islands (UHI) effects as well as microsite effects as documented in the 2022 report Corrupted Climate Stations: The Official U.S. Surface Temperature Record Remains Fatally Flawed.