“God said He would blot out all remembrance of Amalek. The Bible itself disproves this by mentioning Amalek to this day.”
God told Moses to “write this for a memorial in the book,” and God preserved the Book for 5,000 years so skeptics would know that God keeps every promise He makes. The phrase “I will utterly blot out the remembrance of Amalek from under heaven” means that He will blot them out as a nation from the earth. There are no descendants of the Amalekites on the earth. They don’t exist.
Exodus 17:14 Then the Lord said to Moses, “Write this for a memorial in the book and recount it in the hearing of Joshua, that I will utterly blot out the remembrance of Amalek from under heaven.”