Based on sate, new words formed by adding one letter at the beginning or end:
baest   cabets   dbaste   ebeast   fbeats   gbetas   htabes   jcaste   kcates   lcesta   mtaces   nsated   ostade   pstead   rtsade   ssetae   tfates   ufeast   vfeats   wfetas   xgates   ygetas   zstage