You might want to provide more info what software is running on the esp for example and what version(s). Also logs from the esp sending strange values would be valuable!
Do you know how the bme280 coms work in espeasy? Does it use the forced with oversampling for example?
Looks like it’s repeating? Can you setup your logging to be saved so we have something to work with when it happens again?
Other idea would do quickly install something else then espeasy - like esphome or tasmota to actually rule out a problem in software and to be able to blame your hardware!
Ah, see
So, the BME communicates through I2C and humidity e.g. does not send these runaways. Thus, a value should be as it was send by the sensor IMHO.
What I notices (but could also be coincidence) is that the 28°C appear at the same time, I rebooted the HassOS. I enabled the Last Boot sensor for investigation.