Jesus is not giving the disciples "the Spirit" because "spirit" is a bogus concept. "Spirit" is just a synonym for "breath". He is giving them holy breath. Ever since Genesis 2:7 the idea of God filling people with his own breath has permeated the scriptures. Paul calls this "the principle of the breath of life":
Rom 8:2 For the law of the Spirit [breath] of life in Christ Jesus
has set me free from the law of sin and of death.
This principle, that the breath gives life is explicitly stated by Jesus:
John 6:63 [cleaned up] The breath gives life; the flesh is no help
at all. The words that I have spoken to you are breath and life.
Notice that Jesus relates his words to "the breath of life" in contrast to the "bread of life". First he says that he is the bread of life that he gives and it gives life to the world:
Joh 6:51 I am the living bread which came down from heaven: if any
man eat of this bread, he shall live for ever: and the bread that I
will give is my flesh, which I will give for the life of the world.
He speaks about "eating" his flesh, but then he clarifies to say that his flesh is a gospel message and not a meal and that eating it involves faith in the message of his death and resurrection, not literal physical eating:
John 6:63 [cleaned up] The breath gives life; the flesh is no help
at all. The words that I have spoken to you are breath and life.
The idea of words being "breath" is not a difficult one because breath is the medium of words. In fact, the original Paul did not believe that someone could be impacted by the gospel if it weren't spoken by one filled with the breath of God:
2Co 3:3 And you show that you are a letter from Christ delivered by
us, written not with ink but with the Spirit [breath] of the living
God, not on tablets of stone but on tablets of human hearts. 2Co 3:4
Such is the confidence that we have through Christ toward God. 2Co
3:5 Not that we are sufficient in ourselves to claim anything as
coming from us, but our sufficiency is from God, 2Co 3:6 who has
made us sufficient to be ministers of a new covenant, not of the
letter but of the Spirit [breath]. For the letter kills, but the
Spirit [breath] gives life.
Rom 10:14 How then will they call on him in whom they have not
believed? And how are they to believe in him of whom they have never
heard? And how are they to hear without someone preaching?
Eze 37:5 Thus says the Lord GOD to these bones: Behold, I will
cause breath to enter you, and you shall live. Eze 37:6 And I will
lay sinews upon you, and will cause flesh to come upon you, and cover
you with skin, and put breath in you, and you shall live, and you
shall know that I am the LORD."
... Eze 37:8 And I looked, and behold, there were sinews on them, and
flesh had come upon them, and skin had covered them. But there was no
breath in them. Eze 37:9 Then he said to me, "Prophesy to the
breath; prophesy, son of man, and say to the breath, Thus says the
Lord GOD: Come from the four winds, O breath, and breathe on these
slain, that they may live." Eze 37:10 So I prophesied as he
commanded me, and the breath came into them, and they lived and stood
on their feet, an exceedingly great army.
Later, in 2 Tim a letter purporting to be from Paul suggests that written text also can be life-giving because it is "breathed by God":
ESV 2 Timothy 3:16 All Scripture is breathed out by God and
profitable for teaching, for reproof, for correction, and for training
in righteousness,
The disobedient breathe completely different air:
Eph 2:2 in which you once walked, following the course of this world,
following the prince of the power of the air of the breath that is
now at work in the sons of disobedience—
Contrast this solid intertextuality with the idea of "breathing Spirit". Simply put, one does not breathe "spirit" because "spirit" (as defined by those who embrace Substance Dualism) is immaterial. It has no physicality, no physical properties and thus is an abstraction.
So one can part company from the dualists and embrace the scriptural principle or reject the scriptural princple and embrace dualism but these two are at odds with each other. Only by the knowledge that what Jesus breathed is breath can one make any real sense of the passage.
The exception to this rule is that one can understand "spirit" to be a synonym for "breath". In the original languages, and all relevant languages prior to the KJV when they coined the word "spirit" from the Latin word for "breath", "spiritus", there was only one word. Personally I think the ideal would to only have the word "spirit" and lose the word "breath" because the ancients believed that the breath was a divine force, not just gases. It was conceived to be a type of "intelligent organ" with mystical properties. When it entered the clay statue of Yehovah (Adam) it animated it and made it intelligent.
So Jesus was giving "the breath of life" and if we properly regard "spirit" as a synonym for "breath" then yes, he was giving "the spirit" but not the "spirit of the world":
1Co 2:10 these things God has revealed to us through the breath. For
the breath searches everything, even the depths of God. 1Co 2:11 For
who knows a person's thoughts except the breath of that person, which
is in him? So also no one comprehends the thoughts of God except the
breath of God. 1Co 2:12 Now we have received not the breath of the
world, but the breath that is from God, that we might understand the
things freely given us by God.
Once you shed Substance Dualism and see that "the principle of the breath of life" begins in Genesis and runs through Revelation then the scriptures open up. Talk of "spirit" just muddies the waters and makes every verse a meaningless enigma.