Update A Record In Another Db Using A Trigger

here is my trigger that i have right now the only problem is that it deletes the records before copying everything into the db i dont what do delete everything i just whant to catch the updated record and then update the other tables same record in the other db how would i do this:

right now i have this


CREATE TRIGGER test ON [dbo].[TEST123]
AFTER INSERT, UPDATE, DELETE
AS
IF @@ROWCOUNT = 0
RETURN

IF (COLUMNS_UPDATED() & 2 = 2)
DELETE FROM pubs..TEST123 WHERE test3 = '300'
INSERT INTO pubs..TEST123
SELECT * FROM TEST123 WHERE test3 = '300'
UPDATE pubs..TEST123 SET test1 = 'X' WHERE test1 IS NULL AND test3 = '300'
UPDATE pubs..TEST123 SET test2 = 'X' WHERE test2 IS NULL AND test3 = '300'
UPDATE pubs..TEST123 SET test3 = 'X'