feat(core): add ollama lifecycle management for cron sync

Add src/core/ollama_mgmt.rs module that handles Ollama detection, startup,
and health checking. This enables cron-based sync to automatically start
Ollama when it's installed but not running, ensuring embeddings are always
available during unattended sync runs.

Integration points:
- sync handler (--lock mode): calls ensure_ollama() before embedding phase
- cron status: displays Ollama health (installed/running/not-installed)
- robot JSON: includes OllamaStatusBrief in cron status response

The module handles local vs remote Ollama URLs, IPv6, process detection
via lsof, and graceful startup with configurable wait timeouts.

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

src/cli/commands/cron.rs

@@ -9,6 +9,7 @@ use crate::core::cron::{
 };
 use crate::core::db::create_connection;
 use crate::core::error::Result;
+use crate::core::ollama_mgmt::{OllamaStatusBrief, ollama_status_brief};
 use crate::core::paths::get_db_path;
 use crate::core::time::ms_to_iso;
 
@@ -143,12 +144,20 @@ pub fn run_cron_status(config: &Config) -> Result<CronStatusInfo> {
     // Query last sync run from DB
     let last_sync = get_last_sync_time(config).unwrap_or_default();
 
-    Ok(CronStatusInfo { status, last_sync })
+    // Quick ollama health check
+    let ollama = ollama_status_brief(&config.embedding.base_url);
+
+    Ok(CronStatusInfo {
+        status,
+        last_sync,
+        ollama,
+    })
 }
 
 pub struct CronStatusInfo {
     pub status: CronStatusResult,
     pub last_sync: Option<LastSyncInfo>,
+    pub ollama: OllamaStatusBrief,
 }
 
 pub struct LastSyncInfo {
@@ -236,6 +245,32 @@ pub fn print_cron_status(info: &CronStatusInfo) {
             last.status
         );
     }
+
+    // Ollama status
+    if info.ollama.installed {
+        if info.ollama.running {
+            println!(
+                "  {} running (auto-started by cron if needed)",
+                Theme::dim().render("ollama:")
+            );
+        } else {
+            println!(
+                "  {} {}",
+                Theme::warning().render("ollama:"),
+                Theme::warning()
+                    .render("installed but not running (will attempt start on next sync)")
+            );
+        }
+    } else {
+        println!(
+            "  {} {}",
+            Theme::error().render("ollama:"),
+            Theme::error().render("not installed — embeddings unavailable")
+        );
+        if let Some(ref hint) = info.ollama.install_hint {
+            println!("            {hint}");
+        }
+    }
     println!();
 }
 
@@ -264,6 +299,7 @@ struct CronStatusData {
     last_sync_at: Option<String>,
     #[serde(skip_serializing_if = "Option::is_none")]
     last_sync_status: Option<String>,
+    ollama: OllamaStatusBrief,
 }
 
 pub fn print_cron_status_json(info: &CronStatusInfo, elapsed_ms: u64) {
@@ -283,6 +319,7 @@ pub fn print_cron_status_json(info: &CronStatusInfo, elapsed_ms: u64) {
             cron_entry: info.status.cron_entry.clone(),
             last_sync_at: info.last_sync.as_ref().map(|s| s.started_at_iso.clone()),
             last_sync_status: info.last_sync.as_ref().map(|s| s.status.clone()),
+            ollama: info.ollama.clone(),
         },
         meta: RobotMeta::new(elapsed_ms),
     };