fix: tag counts, chip focus, upload naming, share links and unsized clips hold after round 2

- A tag counts the followed channels the Subscriptions tab shows: hidden ones are left out, and a
  subscribe, unsubscribe, hide or tag toggle refreshes the count. The Tag manager's row and its
  hover list count the same channels as the chip; /api/tags sends both counts under their names.
- A chip's count keeps the chip's colour after a dot (a dimmed count fell under 4.5:1). A pick in
  the open "+N" fold closes it; a chip that leaves the list hands the focus to the one in its place.
  The fold is a dialog of toggle buttons, not an empty menu.
- Upload: a folder name left by a press is made once the press is over, if the dialog is still
  open, instead of guessing a dismissal from Modal's markup. While the folder is made, its place
  holds the focus and a live region says so.
- Share: an expired link has no Copy and a warn badge; the link made on open goes into the cached
  list, so a reopen makes no second one; the New link form survives the link made on open.
- Watch: a repeated Enter sends one unlock while one is on its way. See all buttons are named with
  their rail.
- An unsized clip of a rotated file gets the upright size its crop cut.

backend/app/downloads/clip.py

@@ -201,6 +201,16 @@ def _ratio(v: object) -> float | None:
     return n / d if n > 0 and d > 0 else None
 
 
+def quarter_turned(probe: dict) -> bool | None:
+    """Whether the first video stream of an ffprobe `-show_streams` JSON is stored turned a quarter
+    (ffmpeg stands it upright before any filter, so its filters see width and height swapped). None
+    when there is no video stream."""
+    for s in probe.get("streams") or []:
+        if s.get("codec_type") == "video":
+            return _quarter_turned(s)
+    return None
+
+
 def _quarter_turned(stream: dict) -> bool:
     rotation: object = (stream.get("tags") or {}).get("rotate")
     for sd in stream.get("side_data_list") or []: