One way to approach this is to reference where the Catechism of the Catholic Church refers to the points listed in this person’s arguments.
The first Scripture discussed is Genesis 2:7
We must briefly consider whether man has an immortal soul. Our understanding of the Scriptures compels us to maintain that he does not for several reasons:
The catechism references Genesis 2:7 in three different places: paragraph 362, 369, and 703.
362 The human person, created in the image of God, is a being at once corporeal and spiritual. The biblical account expresses this reality in symbolic language when it affirms that "then the LORD God formed man of dust from the ground, and breathed into his nostrils the breath of life; and man became a living being."229 Man, whole and entire, is therefore willed by God.
369 Man and woman have been created, which is to say, willed by God: on the one hand, in perfect equality as human persons; on the other, in their respective beings as man and woman. “Being man” or “being woman” is a reality which is good and willed by God: man and woman possess an inalienable dignity which comes to them immediately from God their Creator.240 Man and woman are both with one and the same dignity “in the image of God”. In their “being-man” and “being-woman”, they reflect the Creator’s wisdom and goodness.
703 The Word of God and his Breath are at the origin of the being and life of every creature:63
It belongs to the Holy Spirit to rule, sanctify, and animate creation, for he is God, consubstantial with the Father and the Son. . . . Power over life pertains to the Spirit, for being God he preserves creation in the Father through the Son.64
» Job recognized that man has a spirit (Job 32:8), which Paul shows in I Corinthians 2:11 endows humanity with intellect. This spirit in man comes from God (Zechariah 12:1) and returns to Him when we die (Ecclesiastes 12:7; Acts 7:59). It records our experiences, character, and personality, which God stores until the resurrection of the dead. However, the Bible never describes this spirit as immortal or eternal; in fact, I Corinthians 2:6-16 explains that man needs yet another Spirit, God’s, to be complete and discern godly things.
Job 32:8, Zechariah 12:1, Acts 7:59 and I Corinthians 2:6-16 are not specifically referenced in the CCC.
I Corinthians 2:11 is referenced in CCC 687:
687 "No one comprehends the thoughts of God except the Spirit of God."7 Now God’s Spirit, who reveals God, makes known to us Christ, his Word, his living Utterance, but the Spirit does not speak of himself. The Spirit who “has spoken through the prophets” makes us hear the Father’s Word, but we do not hear the Spirit himself. We know him only in the movement by which he reveals the Word to us and disposes us to welcome him in faith. The Spirit of truth who “unveils” Christ to us "will not speak on his own."8 Such properly divine self-effacement explains why “the world cannot receive [him], because it neither sees him nor knows him,” while those who believe in Christ know the Spirit because he dwells with them.9
Ecclesiastes 12:1 is referenced in CCC 1007:
1007 Death is the end of earthly life. Our lives are measured by time, in the course of which we change, grow old and, as with all living beings on earth, death seems like the normal end of life. That aspect of death lends urgency to our lives: remembering our mortality helps us realize that we have only a limited time in which to bring our lives to fulfillment:
Remember also your Creator in the days of your youth, . . . before the dust returns to the earth as it was, and the spirit returns to God who gave it.570