The choke on a Briggs & Stratton motor does not close when the motor is hot. The choke is a valve that restricts airflow to the carburetor, causing the engine to run richer. This is necessary when the engine is cold, as it helps to vaporize the fuel and make it easier for the engine to start. As the engine warms up, the choke is gradually opened to allow more air into the carburetor and lean out the fuel mixture.
If the choke is not opening properly, it can cause the engine to run rich and bog down. This can be especially noticeable when the engine is hot. If you think the choke may be stuck, you can try to free it up by gently tapping it with a wrench or screwdriver. If this does not work, you may need to remove the carburetor and clean the choke valve.