Function/Trigger Mutating

Use a compound trigger:

CREATE TRIGGER remove_tv_and_remote 
FOR UPDATE ON home_items
COMPOUND TRIGGER
  TYPE ids_type IS TABLE OF HOME_ITEMS.ID%TYPE;
  ids ids_type := ids_type();
AFTER EACH ROW
  IS
  BEGIN
    IF     :new.items     = 'TV'
       AND :new.selection = 'No'
       AND :old.selection = 'Yes'
    THEN
      ids.EXTEND(1);
      ids(ids.COUNT) := :new.id;
    END IF;
  END AFTER EACH ROW;
AFTER STATEMENT
  IS
  BEGIN
    FORALL i IN 1 .. ids.count
      UPDATE home_items
      SET   selection = 'No'
      WHERE id        = ids(i)
      AND   selection = 'Yes'
      AND   items     = 'Remote';
  END AFTER STATEMENT;
END;
/

If you have the table:

CREATE TABLE home_items (id, items, selection) AS
SELECT 1, 'TV',     'Yes' FROM DUAL UNION ALL
SELECT 1, 'Remote', 'Yes' FROM DUAL;

And then do:

UPDATE home_items
SET   selection = 'No'
WHERE items     = 'TV';

Then:

SELECT * FROM home_items;

Outputs:

ID	ITEMS	SELECTION
1	TV	No
1	Remote	No

db<>fiddle here