It's not valid. It's just the traditional first cause argument with some hand-waving.I prefer this simple argument:
1. The universe exists (seemingly self-evident)
2. For all X, if X exists, then a sufficient reason for X's existence exists (principle of sufficient reason)
Principle of sufficient reason - Wikipedia
3. God is the sufficient reason for the existence of the universe (definition traditional in natural theology)
4. A sufficient reason for the universe's existence exists (from 1 and 2)
Therefore: 5. God exists (from 3 and 4)
It's pretty clearly a valid logical argument. But like all logical arguments, the truth of the conclusion is a function of the truth of the premises, in this case 1,2 and 3.
While I have no doubt about 1, that the universe exists, I have some doubt about 2. the principle of sufficient reason and about whether or not I want to accept 3.
And from the theistic point of view, this kind of argument doesn't really deliver up a theistic deity suitable for worship. It just delivers up a metaphysical function, whatever unknown explanation arguably exists for the universe's existence. Assuming such an explanation exists, it probably bears little resemblance to the deities of the traditional theistic religions.
What's the sufficient reason for God?
Why did you assume that there's only one sufficient reason for the entire universe?
Why didn't you bother to address the possibility of sufficient reasons for the universe that aren't God?