perf(paths): resolve the library root once, not on every path check (#966)

`Path.resolve()` is a filesystem call — it lstats every component of the path.
`_resolve_dlc_path` and `safe_join` both re-resolved their ROOT on every single
call, and those run once per song, per art fetch, per scanned row.

Found while profiling a 2-fps report: on a real 50,944-song library the server
was issuing ~23,500 stat/lstat calls per second, re-walking the same three
parent directories over and over, and burning ~50% of a core doing it. It is
worst exactly where big libraries live — the library was on an NTFS-3G (FUSE)
mount, where every stat is a userspace round trip through mount.ntfs-3g (itself
visible in top). The cost was the constant re-resolution, not the work.

A root is fixed for the life of the process, so resolve it once
(safepath.resolved_root, lru_cache). Measured, 5,000 lookups against a real
library path:

    before:  15,264 stat syscalls   (54.2 ms)
    after:       277 stat syscalls   ( 0.8 ms)     55x fewer

Containment is unchanged, which is the part that matters:
  - safe_join still resolves the CANDIDATE on every call — following its
    symlinks IS the zip-slip / traversal defence, so it is never cached. Only
    the server-owned root is.
  - _resolve_dlc_path keeps its lexical containment check (deliberately does not
    follow symlinks, so junction-mounted libraries keep working).

Tradeoff, documented on resolved_root: if a root's symlink is re-pointed at a
NEW target while the server runs, the old target stays in effect until restart.
Fine for a library path fixed at startup; the cache is keyed on the Path, so
switching library dir is a different key.

Tests: root resolved once across 500 lookups (the regression), a different root
is a different entry, and the containment contract re-pinned — traversal,
Windows drive-absolute, backslash, NUL, empty, and a symlink escaping the root
must still be refused. Full suite green.

lib/dlc_paths.py

@@ -14,6 +14,7 @@ import os
 from pathlib import Path
 
 import appstate
+from safepath import resolved_root
 
 
 def _get_dlc_dir(cfg: dict | None = None) -> Path | None:
@@ -86,7 +87,14 @@ def _resolve_dlc_path(dlc: Path, filename: str) -> Path | None:
             or PureWindowsPath(safe).drive):
         return None
     try:
-        root = dlc.resolve()
+        # The library root is fixed for the life of the process, but this
+        # function runs once per song / art fetch / scanned row — and
+        # `.resolve()` lstats every path component. Re-resolving here was
+        # ~23,500 stat calls/sec on a 50,944-song library, which pins a core
+        # when the library sits on a FUSE mount (NTFS-3G, SMB, sshfs) where each
+        # stat is a userspace round trip. Resolve the root once; see
+        # safepath.resolved_root for the caching contract.
+        root = resolved_root(dlc)
         # normpath collapses `.`/`..`/duplicate separators purely lexically —
         # it never touches the filesystem, so an in-library junction component
         # is preserved (allowed) while `..`/absolute segments still escape and