Nest Thermostat on Shabbos

Shalom aleichem Rabbi Lauffer. Thank you for answering my last question. If one has a “smart” thermostat, specifically a “Nest,” where if you walk into the room on Shabbos it causes the motion sensor on the Nest to light up the display so that it displays the temperature, and the thermostat is also designed to take into account whenever someone enters the room so as to better set the schedule of when the heat goes on automatically, would it be prohibited to enter the room on Shabbos? Thanks.