fix(plex): deep-review follow-ups on E6 transcode + player polish

Eight verified findings from the sprint deep-review:

- Transcode cap: _enforce_cap now counts only transcode sessions, so a
  live remux (stream-copy) stream can no longer be LRU-evicted mid-play —
  matching the config comment + the HU/EN Config hint that promise remux
  is uncapped.
- Player Back: the browser/mouse Back interceptor (BackClose) now also
  mounts for the stats overlay and up-next card, so Back closes them first
  instead of ejecting the whole player (keyboard/Esc already did).
- Honest cold-start: loadSession clears sessionIsTranscode up front, so a
  transcode->direct/remux switch no longer flashes a stale "Preparing
  stream..." during the session request.
- Stats overlay a11y: the close (X) buttons in the stats, help and info
  overlays now read as "Close"/"Bezaras" (new plex.player.close key), not
  "Back"; dropped aria-live from the per-second stat grid so a screen
  reader is not flooded with telemetry.

Tests: route-level transcode routing (transcode item -> HLS re-encode
session, remux stays copy, direct opens none); start_session threading the
preset/crf/max_height knobs + hw/preexec into the ffmpeg argv; UpNextCard
countdown auto-advance, Play-now, Cancel and the S?-E? heading fallback.

Also brings UpNextCard.tsx / plexStats.ts / plexStats.test.ts to prettier.

backend/tests/test_plex_playback_session.py

@@ -0,0 +1,107 @@
+"""The playback-session route's mode routing (E6 S1b).
+
+`POST /stream/{rk}/session` is the single switch that decides how an item plays: a browser-native
+file is served raw (`mode:"direct"`), everything else (re)starts an HLS session — and a
+`playable="transcode"` item (non-h264: HEVC/VP9/AV1/…) must take that HLS path with the video
+RE-ENCODED, not stream-copied. That routing replaced a former `HTTP 501`, and the only thing that
+tells `start_session` to re-encode is the `transcode=` flag this route derives from `it.playable`.
+The command-builder itself is unit-tested in `test_plex_stream.py`; here we pin the ROUTE decision
+(no ffmpeg spawned — `start_session` is stubbed to echo the flag it was handed).
+
+DB lane (`db` fixture) — skipped when no Postgres is reachable.
+"""
+
+from types import SimpleNamespace
+
+from fastapi.testclient import TestClient
+
+import app.state as state
+from app.auth import current_user
+from app.db import get_db
+from app.main import app
+from app.models import PlexItem, PlexLibrary, User
+from app.plex import paths as plex_paths
+from app.plex import stream as plex_stream
+
+
+def _item(db, *, playable, rating_key="m1"):
+    lib = PlexLibrary(plex_key="1", title="Movies", kind="movie", enabled=True)
+    db.add(lib)
+    db.flush()
+    it = PlexItem(
+        rating_key=rating_key,
+        library_id=lib.id,
+        kind="movie",
+        title="A Movie",
+        file_path="/media/a.mkv",
+        playable=playable,
+    )
+    db.add(it)
+    db.commit()
+    return it
+
+
+def _user(db, email="play@example.com"):
+    u = User(email=email)
+    db.add(u)
+    db.flush()
+    return u
+
+
+def _post(db, user, monkeypatch, rating_key, *, captured):
+    """Drive the endpoint with ffmpeg stubbed out. `start_session` records the `transcode` flag it
+    was called with into `captured` and returns a stand-in session echoing it back."""
+    monkeypatch.setattr(state, "_configured_cache", True)  # pass the request gate
+    monkeypatch.setattr(plex_stream, "reap_idle", lambda: None)
+    monkeypatch.setattr(plex_paths, "local_media_path", lambda db_, fp: "/local/a.mkv")
+
+    def fake_start(db_, it, start, audio, aoff, multi, transcode=False):
+        captured["transcode"] = transcode
+        return SimpleNamespace(
+            media_start_s=start, entry="index.m3u8", transcode=transcode, hw=False
+        )
+
+    monkeypatch.setattr(plex_stream, "start_session", fake_start)
+    app.dependency_overrides[get_db] = lambda: db
+    app.dependency_overrides[current_user] = lambda: user
+    try:
+        return TestClient(app).post(f"/api/plex/stream/{rating_key}/session")
+    finally:
+        app.dependency_overrides.clear()
+
+
+def test_transcode_item_routes_to_an_hls_reencode_session(db, monkeypatch):
+    # A non-h264 item (formerly HTTP 501) now plays: mode=hls, transcode=True threaded to start_session.
+    it = _item(db, playable="transcode")
+    user = _user(db)
+    captured: dict = {}
+    resp = _post(db, user, monkeypatch, it.rating_key, captured=captured)
+    assert resp.status_code == 200, resp.text
+    body = resp.json()
+    assert body["mode"] == "hls"
+    assert body["transcode"] is True
+    assert captured["transcode"] is True  # start_session was told to re-encode
+
+
+def test_remux_item_stays_a_stream_copy_session(db, monkeypatch):
+    # A remux (h264) item takes the SAME HLS path but must NOT re-encode.
+    it = _item(db, playable="remux", rating_key="m2")
+    user = _user(db, "remux@example.com")
+    captured: dict = {}
+    resp = _post(db, user, monkeypatch, it.rating_key, captured=captured)
+    assert resp.status_code == 200, resp.text
+    body = resp.json()
+    assert body["mode"] == "hls"
+    assert body["transcode"] is False
+    assert captured["transcode"] is False
+
+
+def test_direct_item_never_opens_a_session(db, monkeypatch):
+    # A browser-native file is served raw — start_session is never reached, so no transcode decision.
+    it = _item(db, playable="direct", rating_key="m3")
+    user = _user(db, "direct@example.com")
+    captured: dict = {}
+    resp = _post(db, user, monkeypatch, it.rating_key, captured=captured)
+    assert resp.status_code == 200, resp.text
+    assert resp.json()["mode"] == "direct"
+    assert "transcode" not in captured  # start_session not called