Let's take a look at all of the texts
Deuteronomy 14:2,3,21-26 [and context] which surround this, and know for certainty.
Deuteronomy 14, is in the same context as
Deuteronomy 12, and the giving of the delineations between that which was Holy and that which was not, between that which was Clean and that which was Unclean.
These are the statutes and judgments, which ye shall observe to do in the land, which the LORD God of thy fathers giveth thee to possess it, all the days that ye live upon the earth. Deuteronomy 12:1
Ye shall utterly destroy all the places, wherein the nations which ye shall possess served their gods, upon the high mountains, and upon the hills, and under every green tree: Deuteronomy 12:2
And ye shall overthrow their altars, and break their pillars, and burn their groves with fire; and ye shall hew down the graven images of their gods, and destroy the names of them out of that place. Deuteronomy 12:3
Ye shall not do so unto the LORD your God. Deuteronomy 12:4
But unto the place which the LORD your God shall choose out of all your tribes to put his name there, evenunto his habitation shall ye seek, and thither thou shalt come: Deuteronomy 12:5
And thither ye shall bring your burnt offerings, and your sacrifices, and your tithes, and heave offerings of your hand, and your vows, and your freewill offerings, and the firstlings of your herds and of your flocks: Deuteronomy 12:6
And there ye shall eat before the LORD your God, and ye shall rejoice in all that ye put your hand unto, ye and your households, wherein the LORD thy God hath blessed thee. Deuteronomy 12:7
Notice now specifically in
Deuteronomy 12:8, that the Children of God, were never to do after the manner of the heathen nations that they were to dispossess, and neither were they to do what was right in their own eyes:
Ye shall not do after allthe things that we do here this day, every man whatsoever isright in his own eyes. Deuteronomy 12:8
The people that worshipped the false gods in the land they were to possess, would also offer drink offerings
[Isaiah 57:6; Jeremiah 19:13; 32:29; 44:19; Ezekiel 20:28] to their gods [devils:
Deuteronomy 32:17] in a perversion of the type given by God, but they would also drink of it, like unto Belial, Bacchus, etc, for instance see the case of Hannah, and the strong drink associated with Belial, in connection, and the pouring out of her soul before the Lord, a type:
And it came to pass, as she continued praying before the LORD, that Eli marked her mouth. 1 Samuel 1:12
Now Hannah, she spake in her heart; only her lips moved, but her voice was not heard: therefore Eli thought she had been drunken. 1 Samuel 1:13
And Eli said unto her, How long wilt thou be drunken? put away thy wine from thee. 1 Samuel 1:14
And Hannah answered and said, No, my lord, I ama woman of a sorrowful spirit: I have drunk neither wine nor strong drink, but have poured out my soul before the LORD. 1 Samuel 1:15
Count not thine handmaid for a daughter of Belial: for out of the abundance of my complaint and grief have I spoken hitherto. 1 Samuel 1:16