lyrics: sort lrclib lyrics by synced field and query search first

I found that the `/get` endpoint often returns incorrect or unsynced
lyrics, while results returned by the `/search` more accurate options.

Thus I reversed the change in the previous commit to prioritize
searching first.

beetsplug/lyrics.py

@@ -332,7 +332,7 @@ def is_valid(self) -> bool:
         )
 
     @cached_property
-    def dist(self) -> tuple[float, bool]:
+    def dist(self) -> tuple[bool, float]:
         """Distance/score of the given lyrics item.
 
         Return a tuple with the following values:
@@ -342,7 +342,7 @@ def dist(self) -> tuple[float, bool]:
         Best lyrics match is the one that has the closest duration to
         ``target_duration`` and has synced lyrics available.
         """
-        return self.duration_dist, not self.synced
+        return not self.synced, self.duration_dist
 
     def get_text(self, want_synced: bool) -> str:
         if self.instrumental:
@@ -391,11 +391,11 @@ def fetch_candidates(
         if album:
             get_params["album_name"] = album
 
+        yield self.fetch_json(self.SEARCH_URL, params=base_params)
+
         with suppress(NotFoundError):
             yield [self.fetch_json(self.GET_URL, params=get_params)]
 
-        yield self.fetch_json(self.SEARCH_URL, params=base_params)
-
     @classmethod
     def pick_best_match(cls, lyrics: Iterable[LRCLyrics]) -> LRCLyrics | None:
         """Return best matching lyrics item from the given list."""

test/plugins/test_lyrics.py

@@ -414,8 +414,23 @@ def test_synced_config_option(self, fetch_lyrics, expected_lyrics):
                     ),
                     lyrics_match(syncedLyrics="synced", plainLyrics="plain 2"),
                 ],
-                "plain with closer duration",
-                id="prefer closer duration",
+                "synced",
+                id="prefer synced lyrics even if plain duration is closer",
+            ),
+            pytest.param(
+                [
+                    lyrics_match(
+                        duration=ITEM_DURATION,
+                        syncedLyrics=None,
+                        plainLyrics="valid plain",
+                    ),
+                    lyrics_match(
+                        duration=1,
+                        syncedLyrics="synced with invalid duration",
+                    ),
+                ],
+                "valid plain",
+                id="ignore synced with invalid duration",
             ),
             pytest.param(
                 [lyrics_match(syncedLyrics=None), lyrics_match()],