Deep copying objects in Angular

Your question says you want to "avoid deep copy", but I'm not sure that's accurate. It sounds like you just want to use angular.copy, because you need to create a copy of the team member and add that to the array:

$scope.addTeamMember = function(teamMember) {
   var newTeamMember = angular.copy(teamMember);
   $scope.team.teamMembers.push(newTeamMember);
};

This is the best documentation available

https://docs.angularjs.org/api/ng/function/angular.copy

there is a live example as well on the page which is self illustrative.