marvel - How are the events from Infinity War possible if this character is dead?

So, in the climax of Avengers: Endgame,

the Thanos from 2014 travels forward in time to 2023 and dies in the climactic battle.

This should, logically, prevent the events of Avengers: Infinity War from ever taking place, since he ceased to be present in the time line 4 years prior to this.

However, the movie seems to imply that the events of Infinity War still happened, creating a time travel paradox - a variant of the Grandfather Paradox.

Is there any official statement as to what occurred, or is this just a plot hole in the movie?