You can have only one view constraint for particular object per role. As I understand you have some public groups and some private groups (tickets assigned to them shall be visible only to group members)
First of all you should find what kind of groups you have more. If you have a lot of public groups and few private then you should use constraint like this:
group.[group]group_list.member IN (@root.id) OR group != U'C2271BBFDE7EA14DA3C797585FEC0B5A' OR group != U'C2281BBFDE7EA14DA3C797585FEC0C5P'
So this constraint will limit access only to assigned group members for tickets that are assigned to groups U'C2271BBFDE7EA14DA3C797585FEC0B5A' and U'C2281BBFDE7EA14DA3C797585FEC0C5P'
If you have more private groups than public you should use constraint like this:
group.[group]group_list.member IN (@root.id) OR group = U'C3271BBFDE7EA14DA3C797585FEC0B3A' OR group = U'C3281BBFDE7EA14DA3C797585FEC0C3P'
This constraint will limit access only to assigned group members for all tickets, except assigned to groups U'C3271BBFDE7EA14DA3C797585FEC0B3A' and U'C3281BBFDE7EA14DA3C797585FEC0C3P'