How to extract snapshot data and save as a global variable in flutter

Question

I don't know whether this is a dumb question or not. Pardon me if it is. I created a streamBuilder and now I want to extract it's AsyncSnapshot and save as a global variable. Currently I only have access to that snapshot is, inside the streamBuilder widget. But I want that snapshot data to update some widgets outside that streamBuilder widget. I have added a comment to below code:

Widget build(BuildContext context) {
    return Scaffold(
      body: StreamBuilder(
          stream: _crudStorage.all(),
          builder: (context, snapshot) {
            switch (snapshot.connectionState) {
              case ConnectionState.active:
              case ConnectionState.waiting:
                if (snapshot.data == null) {
                  return const Center(
                    child: CircularProgressIndicator(),
                  );
                }
                final tasksList = snapshot.data as List<Task>;  //I want to extract this 
                return Column(
                  crossAxisAlignment: CrossAxisAlignment.start,
                  children: [
                    tasksList.isEmpty
                        ? const RiveBird()
                        : Expanded(
                            child: ListView.builder(
                              physics: const BouncingScrollPhysics(),
                              itemCount: tasksList.length + 1,
                              itemBuilder: (context, index) {
                                if (index == tasksList.length) {
                                  return const SizedBox(
                                    height: 85.0,
                                    width: double.infinity,
                                  );
                                }
                                final task = tasksList[index];
                                return Dismissible();
                              },
                            ),
                          ),
                    ],
                );
              default:
                return const Center(
                  child: CircularProgressIndicator(),
                );
            }
          },
        ),
    );
  }