Two store() methods, one doesn't work (Call to undefined method save()) - laravel

Question

One of two similar store methods doesn't work. Could you clarify this for me?
Relations
A Team hasMany Users <> A User belongsTo a Team
A User hasMany Characters <> A Character belongsTo a User
Working Code (CharacterController)
public function store()
{
$fighters = Fighter::pluck('name')->toArray();
$this->validate(request(), [
'name' => 'required|min:3|max:25|alpha_num|not_in:'.Rule::notIn($fighters).'unique:characters',
'fighter' => 'required|in:'.Rule::in($fighters),
]);
auth()->user()->characters()->save(new Character([
'name' => request('name'),
'fighter' => request('fighter'),
]));
return redirect()->route('character.index');
}
Not Working (TeamController)
public function store()
{
$this->validate(request(), [
'name' => 'required|min:3|max:25|alpha_num|unique:teams',
]);
auth()->user()->team()->save(new Team([
'name' => request('name'),
'fame' => 0,
]));
return redirect()->route('team.index');
}
Questions
Why is the same method not available? Is it relation stuff?
Is the create method better? Should I try to use it?
Thought I know what I'm doing, now it turns out I don't...
Thank you for helping.

Answer 1

team() is a belongsTo relation, you probably have a team_id col in your user table which you want to associate with the team.
public function store()
{
$this->validate(request(), [
'name' => 'required|min:3|max:25|alpha_num|unique:teams',
]);
// create and save team
$team = new Team([
'name' => request('name'),
'fame' => 0,
]);
$team->save();
// associate current authenticated user with team (set foreign key) and save user
auth()->user()->team()->associate($team)->save();
return redirect()->route('team.index');
}