What to do first
If a CO alarm is sounding, leave the home and contact emergency services or the appropriate local safety authority from fresh air. Do not ignore the alarm because the furnace still seems to be heating, and do not open panels or cycle the thermostat to create another clue.
Do not restart the furnace until the safety concern is cleared.
The useful details are the alarm location, whether anyone felt symptoms, whether the furnace had been running, and whether there was a gas smell, smoke, soot, blocked vent concern, or recent work. The first job is making the home safe, not proving the furnace is the cause.
Read the gas smell safety guideWhen normal heating service fits
After emergency responders, the gas utility, or the appropriate safety path clears the immediate CO concern, a heating diagnostic can look at the furnace sequence, venting clues, burner behavior, airflow, and why the system should or should not run. Normal no-heat service can start with the $95 Springfield Diagnostic. Nearby towns may cost more.
Read the furnace no-heat guide