fix(peer): refresh settled install state after operations

The follow-up review found a few stale lifecycle edges around local game
transactions. Recovery could sweep active roots, post-operation refreshes
still re-ran full startup recovery, and the UI kept inferring local-only state
from downloaded and installed flags instead of the backend availability.

This updates the peer lifecycle so startup recovery skips active operations,
install/update/uninstall refresh only the affected game after the operation
guard is dropped, and path-changing game-directory updates are rejected while
operations are active. It also removes the dead UpdateGame command, drops the
unused manifest_hash write field while preserving old JSON reads, renames the
internal install-finished event, and carries availability through the DB,
peer summaries, Tauri refreshes, and the React model.

The included follow-up documents record the review source, implementation
decisions, and the remaining FOLLOW_UP_2.md work so later commits can stay
small instead of reopening the completed plan items.

Test Plan:
- git diff --check
- just fmt
- just clippy
- just test

Follow-up-Plan: FOLLOW_UP_PLAN.md

crates/lanspread-peer/src/local_games.rs

@@ -8,7 +8,14 @@ use std::{
     time::{SystemTime, UNIX_EPOCH},
 };
 
-use lanspread_db::db::{Game, GameDB, GameFileDescription};
+use lanspread_db::db::{
+    AVAILABILITY_DOWNLOADING,
+    AVAILABILITY_LOCAL_ONLY,
+    AVAILABILITY_READY,
+    Game,
+    GameDB,
+    GameFileDescription,
+};
 use lanspread_proto::{Availability, GameSummary};
 use serde::{Deserialize, Serialize};
 
@@ -380,12 +387,21 @@ pub(crate) fn game_from_summary(summary: &GameSummary) -> Game {
         size: summary.size,
         downloaded: summary.downloaded,
         installed: summary.installed,
+        availability: availability_label(&summary.availability).to_string(),
         eti_game_version: summary.eti_version.clone(),
         local_version: summary.eti_version.clone(),
         peer_count: 0,
     }
 }
 
+pub(crate) fn availability_label(availability: &Availability) -> &'static str {
+    match availability {
+        Availability::Ready => AVAILABILITY_READY,
+        Availability::Downloading => AVAILABILITY_DOWNLOADING,
+        Availability::LocalOnly => AVAILABILITY_LOCAL_ONLY,
+    }
+}
+
 struct IndexUpdate {
     summary: Option<GameSummary>,
     changed: bool,