Let $X$ be a (sufficiently nice) algebraic space, one can define the category of étale motives $\mathbf{DA}(X,R)$ (with $R$ a ring) like the case of schemes (see for instance, *La réalisation étale et les opérations de Grothendieck* by J. Ayoub).

In *loc.cit.* **Theorem 3.9**, it is proved that if $X$ is a scheme, then the $2$-functor $\mathbf{DA}(-,R)$ is separated, meaning that if $f \colon X \longrightarrow Y$ is surjective then $f^* \colon \mathbf{DA}(Y,R) \longrightarrow \mathbf{DA}(X,R)$ is conservative. 

If $R$ is $\mathbb{Q}$-algebra, then $\mathbf{DA}(X,R)$ is $\mathbb{Q}$-linear and separated and therefore satisfies étale descent by **Proposition 3.3.33** in *Triangulated Categories of Mixed Motives* by Cisinski and Déglise. In particular, take some first terms of the Cech étale hypercover one gets an exact sequence
$$0 \rightarrow \mathbf{DA}(X) \rightarrow \mathbf{DA}(U) \rightarrow \mathbf{DA}(U \times_X U)$$
with $U \longrightarrow X$ an étale morphism. 

**My question**. Do we have the same sequence as above with $U,X$ algebraic spaces?

After some few attempts, I can derive the exactness at $\mathbf{DA}(X)$ but could not do anything with the next exactness or derive it from the case of schemes.