Inshallah! LOL!
In the Koran it establishes that "Allah" is his name-
Qur'an 20:8 "Allah! There is no Ilah (God) save Him. His are the most beautiful Names. To Him belong the most beautiful attributes." [Allah is conceited]
The word "allah" is actually a contraction from a phrase used by the pagan arabs,(the god most high) which evolved into the name "Allah" which they called their black rock.
At first, Mohammad called his god Ar-Rahman, because the name "Allah" was already in use by the pagan Arabs in Mecca.
Early arguments between the Pagan Quarish tribe (Mohammads own tribe) have them saying things like "by Allah, we will not believe in YOUR god, Mohammad"
Mohammad wasn't able to take the name "Allah" for his gods name until he slaughtered his own tribe and took the "Ka'aba"(rock god shrine) by force. All the time he spent in exile in Medina his god was called Ar-Rahman. After the conquest of Mecca, Ar-Rahman is never used again.
So while 'allah" may have had it's beginnings as part of a phrase meaning god, it developed into a NAME, and is just that and only that. Personally I say it's another name for Satan.
Qur'an 20:14 "Verily, I am Allah. No Ilah (God) may be worshiped but I. So serve you Me, and perform regular prostration prayer for My praise. Verily the Hour is coming. I am almost hiding it from Myself." [Allah is childish]
Here, "Allah" is telling the Jews that their God is NOT the same as himself, "Allah".
Qur'an 20:96 "Now look at your ilah (god), of whom you have become devoted. We will (burn) it and scatter it in the sea! But your Ilah (God) is Allah: there is no ilah (god) but He. Thus do We relate to you some stories of what happened before from Our own Remembrance."
It's pretty hard to argue "Allah" means god when the Koran argues clearly that it is a NAME.