Use whatever word you like, the Gospel is that Christ died for sin to win salvation for all who will believe. Surely you do not teach that you were saved at the cross before you existed? Or that God did not call you to believe?Where does scripture call the gospel an “ offer “
Like we mention often here Isaiah 55:1 "Come and drink" This is an offer, with a requirement. If you want to drink, you must come.
That is salvation.