Shalom, Trumpeter.
Truly it is written:
Proverbs 10:19
19 In the multitude of words there wanteth not sin: but he that refraineth his lips is wise.
KJV
Ecclesiastes 5:3
3 For a dream cometh through the multitude of business; and a fool's voice is known by multitude of words.
KJV
What you said (or quoted) SOUNDS good, but there are significant flaws in it when compared to the Scriptures! God's breath through His Ruach was given to ALL of His created beings! They both have a "spirit" ("ruwach") and are a "soul" ("nefesh"). I submit the following Scriptures as proof:
Both men and animals have a "spirit":
Genesis 7:14-15
14 They, and every beast after his kind, and all the cattle after their kind, and every creeping thing that creepeth upon the earth after his kind, and every fowl after his kind, every bird of every sort.
15 And they went in unto Noah into the ark, two and two of all flesh, wherein is the breath (Hebrew: ruwach) of life.
KJV
Ecclesiastes 3:19-21
19 For that which befalleth the sons of men befalleth beasts; even one thing befalleth them: as the one dieth, so dieth the other; yea, they have all one breath; so that a man hath no preeminence above a beast: for all is vanity.
20 All go unto one place; all are of the dust, and all turn to dust again.
21 Who knoweth the spirit (Hebrew: ruwach) of man that goeth upward, and the spirit (Hebrew: ruwach) of the beast that goeth downward to the earth?
KJV
They are also both "souls":
Genesis 1:20-24
20 And God said, Let the waters bring forth abundantly the moving creature (Hebrew: nefesh) that hath life, and fowl that may fly above the earth in the open firmament of heaven.
21 And God created great whales, and every living creature (Hebrew: nefesh) that moveth, which the waters brought forth abundantly, after their kind, and every winged fowl after his kind: and God saw that it was good.
22 And God blessed them, saying, Be fruitful, and multiply, and fill the waters in the seas, and let fowl multiply in the earth.
23 And the evening and the morning were the fifth day.
24 And God said, Let the earth bring forth the living creature (Hebrew: nefesh) after his kind, cattle, and creeping thing, and beast of the earth after his kind: and it was so.
KJV
Genesis 2:7-19
7 And the Lord God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul (Hebrew: nefesh).
8 And the Lord God planted a garden eastward in Eden; and there he put the man whom he had formed.
9 And out of the ground made the Lord God to grow every tree that is pleasant to the sight, and good for food; the tree of life also in the midst of the garden, and the tree of knowledge of good and evil.
10 And a river went out of Eden to water the garden; and from thence it was parted, and became into four heads.
11 The name of the first is Pison: that is it which compasseth the whole land of Havilah, where there is gold;
12 And the gold of that land is good: there is bdellium and the onyx stone.
13 And the name of the second river is Gihon: the same is it that compasseth the whole land of Ethiopia.
14 And the name of the third river is Hiddekel: that is it which goeth toward the east of Assyria. And the fourth river is Euphrates.
15 And the Lord God took the man, and put him into the garden of Eden to dress it and to keep it.
16 And the Lord God commanded the man, saying, Of every tree of the garden thou mayest freely eat:
17 But of the tree of the knowledge of good and evil, thou shalt not eat of it: for in the day that thou eatest thereof thou shalt surely die.
18 And the Lord God said, It is not good that the man should be alone; I will make him an help meet for him.
19 And out of the ground the Lord God formed every beast of the field, and every fowl of the air; and brought them unto Adam to see what he would call them: and whatsoever Adam called every living creature (Hebrew: nefesh), that was the name thereof.
KJV
Therefore, the "soul" and "spirit" that a man has is the same as the "soul" and the "spirit" that an animal has. And, we don't have to go all the way down microscopically to the DeoxyRibonucleic Acid to see why they are the SAME. All one has to do is look at the linkage between the respiratory systems and the circulatory systems in both created beings. Every living cell in the human body (or in the animal body) must have nutrients, water, and oxygen! How do our cells receive their oxygen? They get it through the respiratory system's alveoli within the lungs of air-breathing created beings. There, the iron-based hemoglobin in the blood's red corpuscles exchanges the waste product of carbon dioxide for new oxygen, and this oxygen is ported to EVERY CELL in both the human body and in the animal body! THAT is why the "life of the flesh is in the blood!"
The ONLY true difference between an animal and a human being is that we were created in the "image of God."