What would you have done?

[The Saucepan Man]

Welcome to the Downs Amrod the Hunter.

I must, however, take issue with you on this:

... he forgoth about Aragorn and that is why he lost at Pellenor.

Sauron was only too aware of Aragorn. Aragorn made sure of that when he used the Palantir of Orthanc. It was this that prompted Sauron to make a move on Minas Tirith earlier than he might otherwise have done. What he didn't bargain for was the Rohirrim being free to ride to Gondor's aid and Aragorn's nifty use of the Oathbreakers to take the Corsairs out of the equation and turn up at the Pelennor unannounced.

Indeed, it was Sauron's preoccupation with the Isildur's heir, encouraged by the "diversion" (as film Legolas so helpfully puts it ) at the Black Gate, that caused him to make the mistake of taking his "eye" off Mordor, thus allowing a certain two Hobbits to slip into Mordor that much more easily.