feat: rename AuthorizedUser to AuthenticatedUser across the application

[yuto-trd]

Description

Rename all instances of AuthorizedUser to AuthenticatedUser throughout the application for consistency and clarity.

Breaking changes

The type AuthorizedUser has been replaced with AuthenticatedUser, which may affect any external references or dependencies.

Fixed issues

None.

[github-actions]

No TODO comments were found.

[Copilot]

Pull request overview

Renames the API/user model from AuthorizedUser to AuthenticatedUser and updates downstream ViewModels to use the new naming, aligning terminology across the Beutl API layer and UI.

Changes:

• Replaced BeutlApiApplication.AuthorizedUser with AuthenticatedUser, including sign-in/restore flows.
• Renamed the user model type to AuthenticatedUser and updated refresh/usage call sites.
• Updated affected ViewModels (settings + extensions) to reference AuthenticatedUser and renamed IsAuthorized → IsAuthenticated.

Reviewed changes

Copilot reviewed 9 out of 9 changed files in this pull request and generated 2 comments.

Show a summary per file

File	Description
src/Beutl/ViewModels/SettingsPages/AccountSettingsPageViewModel.cs	Switched reactive bindings and sign-in flow typing to AuthenticatedUser.
src/Beutl/ViewModels/MainViewModel.cs	Renamed the HttpClient field used for API app construction.
src/Beutl/ViewModels/ExtensionsPages/RemoteUserPackageViewModel.cs	Updated auth checks/refresh calls to use AuthenticatedUser.
src/Beutl/ViewModels/ExtensionsPages/LibraryPageViewModel.cs	Constructor and stored user reference updated to AuthenticatedUser.
src/Beutl/ViewModels/ExtensionsPages/DiscoverPages/PackageDetailsPageViewModel.cs	Updated auth refresh gate to AuthenticatedUser.
src/Beutl/ViewModels/ExtensionsPages/DiscoverPageViewModel.cs	Updated auth refresh gate to AuthenticatedUser.
src/Beutl/ViewModels/ExtensionsPageViewModel.cs	Renamed IsAuthorized to IsAuthenticated and updated subscription source.
src/Beutl.Api/Objects/AuthorizedUser.cs	Renamed the class to AuthenticatedUser (file name not yet aligned).
src/Beutl.Api/BeutlApiApplication.cs	Introduced AuthenticatedUser reactive property and updated sign-in/sign-out/restore methods accordingly.

Comments suppressed due to low confidence (2)

src/Beutl.Api/Objects/AuthorizedUser.cs:13

• This file still has the old filename (AuthorizedUser.cs) but now defines AuthenticatedUser. Please rename the file to AuthenticatedUser.cs to match the type name (consistent with the other Beutl.Api.Objects files) and avoid confusion/IDE navigation issues.

public class AuthenticatedUser(
    Profile profile,
    AuthResponse response,
    BeutlApiApplication clients,
    HttpClient httpClient,
    DateTime writeTime)

src/Beutl/ViewModels/SettingsPages/AccountSettingsPageViewModel.cs:146

• user is assigned from the sign-in switch but never used. If the intent is only to trigger sign-in side effects, assign to _/remove the local; otherwise use user (e.g., for a null check or subsequent refresh) to avoid an unused-variable warning.

                _cts.Value = new CancellationTokenSource();
                AuthenticatedUser? user = provider switch
                {
                    "Google" => await _clients.SignInWithGoogleAsync(_cts.Value.Token),
                    "GitHub" => await _clients.SignInWithGitHubAsync(_cts.Value.Token),
                    _ => await _clients.SignInAsync(_cts.Value.Token),
                };

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[github-actions]

Package	Line Rate	Branch Rate	Complexity	Health
Beutl.Editor	82%	76%	864	✔
Beutl.Extensibility	12%	14%	110	➖
Beutl.Operators	0%	100%	1	➖
Beutl.Language	0%	17%	1069	➖
Beutl.ProjectSystem	10%	5%	3030	➖
Beutl.Threading	98%	87%	122	✔
Beutl.Engine	20%	18%	14339	➖
Beutl.Configuration	40%	20%	306	➖
Beutl.Utilities	73%	67%	358	➖
Beutl.Core	38%	35%	3058	➖
Summary	24% (13102 / 55739)	23% (3632 / 16033)	23257	➖

Minimum allowed line rate is 0%