How does Edmund further plot against Edgar and Gloucester in scene 1?

In Act 1, Scene 2 of "King Lear," Edmund further plots against Edgar and Gloucester by manipulating their relationship and exploiting Gloucester's trust. He deceives Gloucester by feigning loyalty and concern for his father’s well-being while secretly planning to eliminate Edgar, whom he portrays as a threat. By fabricating a story about Edgar's supposed treachery, Edmund aims to sow discord and set the stage for Edgar's downfall, ultimately intending to usurp his brother's position and gain his father's favor. This cunning manipulation highlights Edmund's ambition and ruthless nature.