refactor(FN-1288): consolidate GitHub remote parsing in @fusion/core

- Replace dashboard calls to local getCurrentGitHubRepo helpers with getCurrentRepo from @fusion/core
- Update engine scheduler PR-monitor startup paths to use shared core repo resolution
- Remove duplicated remote parsing implementations from dashboard and engine packages
- Mark gap analysis finding 6.3 as resolved after centralizing parsing logic

packages/dashboard/src/github.ts

@@ -2344,41 +2344,3 @@ export function parseGitHubBadgeUrl(url: string): { owner: string; repo: string
   return { owner: parsed.owner, repo: parsed.repo };
 }
 
-/**
- * Extract owner/repo from a GitHub remote URL or return null if not a GitHub remote.
- * @deprecated Use parseRepoFromRemote from gh-cli.ts instead
- */
-export function parseGitHubRemote(remoteUrl: string): { owner: string; repo: string } | null {
-  // Handle HTTPS: https://github.com/owner/repo.git or https://github.com/owner/repo
-  const httpsMatch = remoteUrl.match(/github\.com\/([^\/]+)\/([^\/\.]+)(?:\.git)?$/);
-  if (httpsMatch) {
-    return { owner: httpsMatch[1], repo: httpsMatch[2] };
-  }
-
-  // Handle SSH: git@github.com:owner/repo.git or git@github.com:owner/repo
-  const sshMatch = remoteUrl.match(/github\.com:([^\/]+)\/([^\/\.]+)(?:\.git)?$/);
-  if (sshMatch) {
-    return { owner: sshMatch[1], repo: sshMatch[2] };
-  }
-
-  return null;
-}
-
-/**
- * Get the current GitHub remote owner/repo from the git config.
- * @deprecated Use getCurrentRepo from gh-cli.ts instead
- */
-export function getCurrentGitHubRepo(cwd: string): { owner: string; repo: string } | null {
-  const { execFileSync } = require("node:child_process");
-  try {
-    const remoteUrl = execFileSync("git", ["remote", "get-url", "origin"], {
-      cwd,
-      encoding: "utf-8",
-      stdio: ["pipe", "pipe", "ignore"],
-    }).trim();
-
-    return parseGitHubRemote(remoteUrl);
-  } catch {
-    return null;
-  }
-}