As we know, every regular weakly Lindelof space is DCCC. Here DCCC denotes discrete countable chain condition, a space $X$ has discrete countable chain condition if every discrete family of non-empty open sets of $X$ is countable.

A space $X$ is said to be weakly Lindelof if every open cover $\mathcal U$ of $X$ contains a countable subfamily $\mathcal V \subset \mathcal U$ such that $\bigcup \mathcal V$ is dense in $X$.

Is there a Hausdorff weakly Lindelof space which is not DCCC?