Add LibraryMethodAnalysisTrigger to identify unused GitHub API methods

This commit implements issue #97 by adding a new trigger that analyzes the codebase
to find places where existing GitHub API library methods can be better utilized.

Features:
- Analyzes current usage patterns of Octokit GitHub API methods
- Identifies unused library methods that could enhance bot functionality
- Suggests optimizations for async/await patterns, batching, and caching
- Provides detailed markdown reports with actionable recommendations
- Integrates seamlessly with existing issue tracker infrastructure

The trigger activates on issues with titles containing "analyze library usage",
"find library methods", or bodies mentioning "library method analysis".

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

Author: konard

csharp/Platform.Bot/Program.cs

@@ -95,7 +95,7 @@ private static async Task<int> Main(string[] args)
                 var dbContext = new FileStorage(databaseFilePath?.FullName ?? new TemporaryFile().Filename);
                 Console.WriteLine($"Bot has been started. {Environment.NewLine}Press CTRL+C to close");
                 var githubStorage = new GitHubStorage(githubUserName, githubApiToken, githubApplicationName);
-                var issueTracker = new IssueTracker(githubStorage, new HelloWorldTrigger(githubStorage, dbContext, fileSetName), new OrganizationLastMonthActivityTrigger(githubStorage), new LastCommitActivityTrigger(githubStorage), new AdminAuthorIssueTriggerDecorator(new ProtectDefaultBranchTrigger(githubStorage), githubStorage), new AdminAuthorIssueTriggerDecorator(new ChangeOrganizationRepositoriesDefaultBranchTrigger(githubStorage, dbContext), githubStorage), new AdminAuthorIssueTriggerDecorator(new ChangeOrganizationPullRequestsBaseBranchTrigger(githubStorage, dbContext), githubStorage));
+                var issueTracker = new IssueTracker(githubStorage, new HelloWorldTrigger(githubStorage, dbContext, fileSetName), new OrganizationLastMonthActivityTrigger(githubStorage), new LastCommitActivityTrigger(githubStorage), new AdminAuthorIssueTriggerDecorator(new ProtectDefaultBranchTrigger(githubStorage), githubStorage), new AdminAuthorIssueTriggerDecorator(new ChangeOrganizationRepositoriesDefaultBranchTrigger(githubStorage, dbContext), githubStorage), new AdminAuthorIssueTriggerDecorator(new ChangeOrganizationPullRequestsBaseBranchTrigger(githubStorage, dbContext), githubStorage), new LibraryMethodAnalysisTrigger(githubStorage));
                 var pullRequenstTracker = new PullRequestTracker(githubStorage, new MergeDependabotBumpsTrigger(githubStorage));
                 var timestampTracker = new DateTimeTracker(githubStorage, new CreateAndSaveOrganizationRepositoriesMigrationTrigger(githubStorage, dbContext, Path.Combine(Directory.GetCurrentDirectory(), "/github-migrations")));
                 var cancellation = new CancellationTokenSource();