Did Adam and Eve go to heaven?

As an inquisitive individual delving into the realms of biblical theology and mythology, I am compelled to pose the enigmatic query: Did the illustrious duo of Adam and Eve, the progenitors of humankind according to religious lore, find their way to the celestial abode of heaven? This inquiry delves into the intricate tapestry of divine judgement, redemption, and the consequences of one's actions, particularly within the context of the Judeo-Christian tradition. Do their seminal sins of disobedience to God's commandment, the eating of the forbidden fruit, preclude them from ascending to the hallowed grounds of paradise? Or is there a possibility that their subsequent contrition, faith, and potential repentance may have paved the way for a celestial redemption?