Perform download cache renewal async

Don't block on cache renewals, but notify library on updates so that the badges show up when ready.

We skip the cache when checking if a chapter is downloaded for the reader assuming that it's a
relatively low cost to check for a single chapter.

(Probably) fixes #8254 / fixes #7847

app/src/main/java/eu/kanade/tachiyomi/ui/reader/ReaderPresenter.kt

@@ -392,7 +392,7 @@ class ReaderPresenter(
         if (chapter.pageLoader is HttpPageLoader) {
             val manga = manga ?: return
             val dbChapter = chapter.chapter
-            val isDownloaded = downloadManager.isChapterDownloaded(dbChapter.name, dbChapter.scanlator, manga.title, manga.source)
+            val isDownloaded = downloadManager.isChapterDownloaded(dbChapter.name, dbChapter.scanlator, manga.title, manga.source, skipCache = true)
             if (isDownloaded) {
                 chapter.state = ReaderChapter.State.Wait
             }
@@ -463,6 +463,7 @@ class ReaderPresenter(
             nextChapter.scanlator,
             manga.title,
             manga.source,
+            skipCache = true,
         ) || downloadManager.getChapterDownloadOrNull(nextChapter) != null
         if (isNextChapterDownloadedOrQueued) {
             downloadAutoNextChapters(chaptersNumberToDownload, nextChapter.id, nextChapter.read)

app/src/main/java/eu/kanade/tachiyomi/ui/reader/viewer/ReaderTransitionView.kt

@@ -57,6 +57,7 @@ class ReaderTransitionView @JvmOverloads constructor(context: Context, attrs: At
                 prevChapter.scanlator,
                 manga.title,
                 manga.source,
+                skipCache = true,
             )
             val isCurrentDownloaded = transition.from.pageLoader is DownloadPageLoader
             binding.upperText.text = buildSpannedString {
@@ -94,6 +95,7 @@ class ReaderTransitionView @JvmOverloads constructor(context: Context, attrs: At
                 nextChapter.scanlator,
                 manga.title,
                 manga.source,
+                skipCache = true,
             )
             binding.upperText.text = buildSpannedString {
                 bold { append(context.getString(R.string.transition_finished)) }