@Boldline There are two ways to do this.
One way: as @b77 said, ungroup all black shapes and them combine with Union to create a single clipping shape. Then paste inside, or drag&drop in the layers panel will do the trick.
The other way: if you want to keep all the black part editable, leave it as a single group.
select the black group and select Object -> Object Options and given a name for the group, and then click on Role and select the Shape role and confirm with OK.
now we have a shape style that we can use for clipping the other group. And the shape is obtained ynamically by combined the shapes from the black group.
select the red group and in the context panel Shape drop down select the shape name given to the black group.
this selects the shape style as the clipping shape of the red group.
BTW: these above steps are very VS specific, I send a basic example by email.
