style(core): apply cargo fmt across routes, services, models, tests

Pure rustfmt reflow (import grouping, array/match-arm/call-arg wrapping,
alphabetized module decls, comment realignment). No semantic change:
full-diff and `git diff -w` both confirm logic byte-identical to 271c363;
workspace builds and all 74 core tests pass. Retained pre-existing WIP
brought forward after verification.

src/routes/auth.rs

@@ -34,7 +34,10 @@ pub async fn post_auth_local(
 
 /// GET /auth/status — lightweight check: does a profile exist?
 /// Returns 200 `{ "has_profile": true/false }` without erroring.
-pub async fn get_auth_status(State(state): State<AppState>, game: GameId) -> AppResult<Json<Value>> {
+pub async fn get_auth_status(
+    State(state): State<AppState>,
+    game: GameId,
+) -> AppResult<Json<Value>> {
     let count: i64 = sqlx::query_scalar("SELECT COUNT(*) FROM profiles WHERE game_id = ?")
         .bind(game.as_str())
         .fetch_one(&state.pool)