What is the ruling for renting out space in a store for someone that sells alcohol, and the store owner is not taking any percentage from the alcohol?

According to Imam Abu Hanifa, it is permissible for a Muslim to hire his property to a non-Muslim who sells wine.
“There is no problem in renting out a house for a fire temple, church, or liquor shop to be set up in it, as the rent obtained is in lieu of the use of the house. Thus, the payment of rent is obligated once the house is handed over (to the tenant), and there is no sin in this. The sin is the action of the tenant for which he himself is responsible.”
[al-Hidāyah, vol. 4, pg. 470]

In contrast to this view, the view of Imam Abu Yusuf and Imam Muhammad, the two famous students of Imam Abu Hanifa is that it is not permissible. This is the view of the other three schools of thought that the rental is rendered invalid because it is based on sin.

Conclusion:
As Muslims, we should avoid any participation in any haram action especially pertaining to alcohol.
“The Messenger of Allah (ﷺ) cursed ten with regard to wine: The one who squeezes (the grapes etc.), the one who asks for it to be squeezed, the one for whom it is squeezed, the one who carries it, the one to whom it is carried, the one who sells it, the one for whom it is brought, the one who pours it, the one for whom it is poured, until he counted ten like this.”

If one has the choice, then he should not rent out his property for haram use as this is a more precautionary path.