1. If you insert an E after the 2nd letter you will get a common 6-letter English word.
2. If instead, you insert an E at the end, you will get another common 6-letter English word.
3. If instead, you insert an E after the 4th letter, you will get another common 6-letter word.

Source: Adapted from a problem appearing in NPR's Sunday Puzzle in 2019.