Why does this argument for God's existence lead people to think it's the Bible God?

Google Kalam Cosmological Argument by Dr William Lane Craig

A simple explanation of it would be this:
1. Everything that begins to exist has a cause.
2. The universe began to exist.
3. Therefore, the universe has a cause.

3.1 That cause would have to be transcendent of time, space, and be immaterial. Pretty much the attributes God would have. Dr William Lane Craig, who is a proponent of this argument suggests that it must be a personal creator too. How does he come to this conclusion?

And my main question would be, since this argument simply provides a (good?) argument for the existence of an uncaused eternal transcendent First Cause/god, how does Dr Craig come to the conclusion that it must be the God of the Bible?

That is a part I don't understand.
 
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