feat(tui): add rich context information including active jobs, README snippet, and recent git history

apps/infrastructure/src/utils.rs

@@ -259,5 +259,55 @@ pub fn build_rich_context(root: &Path) -> String {
         }
     }
 
+    // 5. Active Background Jobs
+    let jobs = crate::bgbash::control::bash_control().list();
+    if !jobs.is_empty() {
+        ctx.push_str("### Active Background Jobs\n```\n");
+        for (id, cmd, _) in jobs {
+            ctx.push_str(&format!("[{}] {}\n", id, cmd));
+        }
+        ctx.push_str("```\n\n");
+    }
+
+    // 6. Project Purpose (README)
+    let readme_path = root.join("README.md");
+    if let Ok(content) = std::fs::read_to_string(&readme_path) {
+        let snippet = if content.len() > 1000 {
+            format!("{}\n... (truncated)", &content[..1000])
+        } else {
+            content
+        };
+        ctx.push_str(&format!("### Project Purpose (README.md)\n```\n{}\n```\n\n", snippet.trim()));
+    }
+
+    // 7. Recent Git History & Momentum
+    if root.join(".git").exists() {
+        let commits = Command::new("git")
+            .arg("log")
+            .arg("-n")
+            .arg("3")
+            .arg("--oneline")
+            .current_dir(root)
+            .output()
+            .map(|o| String::from_utf8_lossy(&o.stdout).trim().to_string())
+            .unwrap_or_default();
+
+        if !commits.is_empty() {
+            ctx.push_str(&format!("### Recent Commits (Momentum)\n```\n{}\n```\n\n", commits));
+        }
+
+        let diff = Command::new("git")
+            .arg("diff")
+            .arg("--name-only")
+            .current_dir(root)
+            .output()
+            .map(|o| String::from_utf8_lossy(&o.stdout).trim().to_string())
+            .unwrap_or_default();
+
+        if !diff.is_empty() {
+            ctx.push_str(&format!("### Recently Modified Files (Uncommitted)\n```\n{}\n```\n\n", diff));
+        }
+    }
+
     ctx.trim_end().to_string()
 }