Is it better to use hot compresses or cold compresses for a swollen face caused by a toothache?

Tooth pain caused by facial swelling, may be the spread of apical periapical inflammation caused by maxillofacial space infection, it is recommended that cold compresses be applied in the early stage of swelling to avoid the spread of inflammation, and when abscess formation occurs, timely incision and drainage, as follows.
Spreading of periapical inflammation may occur, and if it spreads to the buccal space and the occlusal space, it may lead to swelling of the face. Cold compresses are recommended in the early stage of swelling, and hot compresses are not recommended to avoid promoting local circulation, leading to further spread of inflammation and causing multi-gap infections.
Cold compresses cannot completely eliminate the swelling, and timely root canal treatment is needed. If the interspace is infected, surgical incision should be made to separate it into the abscess cavity and establish adequate drainage, which can control the inflammation and reduce the symptoms of facial swelling and toothache.
It is recommended to visit a regular medical institution to receive professional treatment.