Reconcile project statuses against Docker on startup, update docs and CI

- Add reconcile_project_statuses command that checks actual Docker container
  state on startup, preserving Running status for containers that are genuinely
  still running and resetting stale statuses to Stopped
- Add is_container_running helper using Docker inspect API
- Frontend calls reconciliation after Docker is confirmed available
- Update TECHNICAL.md project structure, auth modes, and file listings to
  match current codebase
- Update README.md and HOW-TO-USE.md with MCP servers, Mission Control,
  file manager, bash shells, clipboard/audio shims, and progress modal docs
- Add workflow file self-triggers to CI path filters for build-app.yml
  and build.yml
- Install Mission Control skills to ~/.claude/skills/ in entrypoint

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

app/src-tauri/src/docker/container.rs

@@ -47,8 +47,8 @@ The `/workspace/mission-control/` directory contains **Flight Control** — an A
 ### How It Works
 
 - **Mission Control is a tool, not a project.** It provides skills and methodology for managing other projects.
-- All Flight Control skills live in `/workspace/mission-control/.claude/skills/`
-- The projects registry at `/workspace/mission-control/projects.md` lists all active projects
+- All Flight Control skills are installed as personal skills in `~/.claude/skills/` and are automatically available as `/slash-commands`
+- The methodology docs and project registry live in `/workspace/mission-control/`
 
 ### When to Use
 
@@ -1031,6 +1031,16 @@ pub async fn get_container_info(project: &Project) -> Result<Option<ContainerInf
     }
 }
 
+/// Check whether a Docker container is currently running.
+/// Returns false if the container doesn't exist or Docker is unavailable.
+pub async fn is_container_running(container_id: &str) -> Result<bool, String> {
+    let docker = get_docker()?;
+    match docker.inspect_container(container_id, None).await {
+        Ok(info) => Ok(info.state.and_then(|s| s.running).unwrap_or(false)),
+        Err(_) => Ok(false),
+    }
+}
+
 pub async fn list_sibling_containers() -> Result<Vec<ContainerSummary>, String> {
     let docker = get_docker()?;