The chart shows what i guess about the succession using probable changes like e>ye or s>sh>ch or a>ya
PS: I'm not a linguist, just a curious language learner
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As the other answer somewhat obscurely tells you, all these words are related, but Armenian yes is not the common origin. There is also nothing particular in your question that justifies centering that chart around Armenian rather than any of the other languages. To learn more about how such relationships can reliably be established, you could read up on the comparative method.
You're right that all of these are (probably) related! However, it's almost certain that Modern Armenian is not the common source. Armenian is a relatively modern language (it's not attested until the fourth century CE), while Indo-European written records go back to the sixteenth century BCE, two millennia earlier.
The original form is reconstructed as something like *éǵ, *eǵHóm, or *eǵóH. You see, for example, how some forms seem to go back to some sort of G-like sound, and others go back to some S-like sound? There's a consistent pattern that shows up over and over again, where some languages (the "satem" languages) show an S-like sound in certain words, and others (the "centum" languages) show a G-like sound. These words are written with a *ǵ in reconstructions. No modern language shows this *ǵ as a distinct sound, but we know that whatever common ancestor existed must have distinguished it from both *g and *s. This is solid evidence that no modern language is the common ancestor of the Indo-European family.
Since this question is likely to disappear soon into the limbo of unspeakable queries I will restrict myself to a brief answer. The Armenian word for the 1st person singular pronoun is /es/, which in modern Armenian is pronounced [jes]. The [j] on-glide is not indicated in Armenian script. Armenian /es/ is cognate with the word for “I” in almost all other Indo-European languages, for which a proto-Indo-European source has been posited, namely *éǵ, possibly followed by a hypothetical laryngeal. Armenian /es/ is a regular descendant of this PIE *éǵ.