feat(ui): move in-game status to the board — highlight, score badge, full-width rack

Remove the under-board status strip and relocate its signals:
- bag count -> a badge on the exchange/pass control + the foot of the move table
- whose-turn / win-lose -> a thin strip above the score plaques
- the tentative-move caption -> the board itself: staged tiles tint green (legal) or
  pink (illegal), the board tiles a formed word runs through go a shade darker, and an
  orange score badge sits on the main word (digit sized like a tile value, clamped on-board)

The word geometry (covered cells + badge anchor) is a new pure client-side helper
(ui/src/lib/formed.ts), independent of the move evaluator, so it works on the local or
network preview path alike; the badge's number still comes from the preview score.

Rack: a seven-column grid filling the tray width in both layouts — square, full-width
tiles — with the confirm control in the fixed 7th slot.

Settings: a touch-only "Zoom the board" toggle (default on, device-local) gates the
tile-placement auto-zoom; taking a hint while zoomed in now zooms out so the highlighted
hint word is never left off-screen.

Docs (FUNCTIONAL +_ru, UI_DESIGN, ARCHITECTURE) and e2e/unit tests updated.

docs/UI_DESIGN.md

@@ -179,16 +179,16 @@ e2e and the screenshots.
   back near the edges. It **recentres only on a zoom-in** — placing a 2nd+ tile or
   hovering a dragged tile never jumps the board. On touch the first tile placement auto-zooms
   in centred on the target, and **holding a dragged tile over a cell ~1 s** auto-zooms there
-  the first time. A **swipe down on the zoom-out board** opens the history, but only when the
+  the first time — both gated by the **Zoom the board** setting (on by default; the toggle is
+  shown only on a touch device). A **swipe down on the zoom-out board** opens the history, but only when the
   board is scrolled to its top so it never fights the stage's own vertical scroll (the conflict
   that once retired this gesture) — and it is suppressed on the zoomed board, where the
   one-finger drag pans (and on desktop / the landscape iframe, where a mouse cannot drag-scroll the
   viewport natively, a **drag-to-pan** handler moves the zoomed board instead — active only while
   zoomed, off pending tiles, past a small threshold, swallowing the trailing click). History also
   opens on a **tap of the score bar** and closes on a tap or
-  an **upward swipe** of the then-inert board (below). A **hint** auto-zooms centred on the
-  hint's placement, not
-  the top-left.
+  an **upward swipe** of the then-inert board (below). Taking a **hint** while zoomed in **zooms
+  out** to the whole board, so the hint's word — highlighted (below) — is never left off-screen.
 - **Placing & recall** (`Game.svelte`): a rack tile is placed by tap-then-tap or by
   dragging it onto a cell; while a dragged tile is carried over the board, the aimed-at empty
   cell is **highlighted as a drop target** (an accent ring). A pending tile is taken back by a
@@ -224,7 +224,7 @@ e2e and the screenshots.
   are pinned to the card's edges.
   Unread chat is also badged on the score bar itself, so it shows with the history closed.
 - **Vertical fit & keyboard**: when the game does not fit the viewport, only the
-  board area scrolls vertically (`Screen` `column` mode; the score bar, status, rack and tab
+  board area scrolls vertically (`Screen` `column` mode; the turn strip, score bar, rack and tab
   bar stay fixed), while zoom keeps its own scroll. The check-word dialog opens in
   `Modal` keyboard-overlay mode — the small sheet is top-anchored and the soft keyboard
   overlays the empty area below, so the layout doesn't resize/jank; other modals stay
@@ -235,23 +235,31 @@ e2e and the screenshots.
   (`min(100cqw, 100cqh)`, height-driven in `Board.svelte`'s `.scaler.land`) inside a
   `container-type: size` pane, shrinking by width when the column is narrow — the board has the
   **lowest priority**, so the left panel is never squeezed. The **left panel** stacks, top to
-  bottom: the score plaques, the **always-open** history (docked and scrolling with its header
-  sticky — no slide-down drawer, no score-bar toggle), the status line (bag · turn · score
-  preview), the rack (+ the ✅ make control) and, pinned at the bottom, the controls tab bar. Board
+  bottom: the **turn/result strip**, the score plaques, the **always-open** history (docked and
+  scrolling with its header sticky and the **bag count** pinned at its foot — no slide-down drawer,
+  no score-bar toggle), the rack (with the ✅ confirm control in its fixed 7th slot) and, pinned at
+  the bottom, the controls tab bar. Board
   **zoom works as in portrait** (double-tap / pinch / placement auto-zoom), but the viewport is the
   full pane: zoom-out shows the height-fitted square centred, and zoom-in magnifies the board past
   the pane and pans within it, occupying the full width up to the left panel (the focus-centred
   scroll is set directly, without the portrait width-progress tween). Only the history open/close
   swipes are dropped (it is always open) and the nav bar does not grow (`growNav` off). The
   portrait layout is byte-for-byte unchanged; both layouts render from the same snippets, so the
-  behaviour and markup stay single-sourced. The rack tiles size to the (fixed-width) panel rather
-  than the viewport width so seven tiles never overflow the column.
-- **Highlights**: pending tiles use a slightly darker tile background (no outline). The
+  behaviour and markup stay single-sourced. The rack is a **seven-column grid** filling the tray
+  width in both layouts, so the tiles are square and as large as the row allows (the confirm ✅ takes
+  the fixed 7th slot while a play is staged).
+- **Highlights**: while composing a play the staged tiles are **tinted by legality** — a light
+  green once they form a word (a shade darker on the committed board tiles the word runs through),
+  a calm pink when they form none — and an **orange score badge** sits on a corner of the main
+  word's tile, its digit sized like a tile's point value (so it scales with the zoom) and clamped
+  to stay on the board. Off-turn or with no preview the staged tiles keep the plain pending fill.
+  The colours are theme tokens in `app.css` (`--tile-pending-legal` / `-illegal`, `--tile-formed`,
+  `--score-badge`); the geometry — which cells a word covers and where the badge anchors — is a
+  pure client-side helper (`lib/formed.ts`), independent of the move evaluator. The
   last completed word keeps the normal tile background; instead its letters — not the point
   values — are drawn in the recent-move colour, in both themes. It is static while it is the
   opponent's turn (our word), and a 1 s flash (the letter pulses between its normal colour
-  and the recent-move colour) when it is our turn (their word). While placing, only the
-  pending tiles are highlighted.
+  and the recent-move colour) when it is our turn (their word).
 - **Bonus-square labels** — a Settings choice (`boardlabels.ts`): `beginner` shows a
   split `3×` / `word` (localized слово/буква), `classic` a single `3W` / `3С`, `none`
   nothing. Default **beginner**.
@@ -267,18 +275,21 @@ e2e and the screenshots.
   otherwise it reverts. Used by the **Hint** tab (the icon morphs to ✅, no label — replacing
   the old press-and-hold popover) and the in-game **add-friend 🤝** and **block ✖️** card
   controls. The **Drop game** action keeps its `Modal` confirmation (a destructive, less-frequent action).
-- **MakeMove / Reset**: when ≥1 tile is pending the rack collapses its used slots
-  and shifts left, a **borderless ✅ icon button** (styled like a tab, not a filled accent
-  button) beside the rack commits the move — no popover, and disabled while the pending word
-  is known illegal; the 🔀 Shuffle tab is replaced by a **↩️ Reset** tab.
-- **Game tab bar**: 🔄 Exchange/Pass (opens a dialog — pick tiles to **Exchange N**, or pick
+- **Confirm / Reset**: while ≥1 tile is pending a **borderless ✅ icon button** (styled like a
+  tab, not a filled accent button) takes the rack's **fixed 7th slot** and commits the move — no
+  popover, and disabled while the pending word is known illegal; the 🔀 Shuffle tab is replaced by
+  a **↩️ Reset** tab.
+- **Game tab bar**: 🔄 Exchange/Pass (a **bag-count badge** on its icon while the bag is non-empty;
+  opens a dialog — pick tiles to **Exchange N**, or pick
   none to **Pass without exchanging**; pass is always available on your turn, exchange only
   while the bag still holds a full rack, below which the tiles disable and only the pass
   remains), 🛟 Hint (with a remaining-count badge, disabled at zero); 🔀 Shuffle (no label,
   no confirm), which
   **animates** — tiles hop along a low parabola to their new slots (duration scaled by the
-  distance, the longest ≤ 0.3 s; off under reduce-motion) with a short haptic shake. The
-  under-board slot shows the **Scores: N** preview. The screen **title** is the variant's
+  distance, the longest ≤ 0.3 s; off under reduce-motion) with a short haptic shake. Whose turn it
+  is — or the viewer's result once the game ends — shows in a **thin strip above the score
+  plaques**; the tentative move's score rides the board badge (above), not an under-board caption.
+  The screen **title** is the variant's
   display name (Scrabble / Скрэббл / Erudite / Эрудит), not a constant "Scrabble".
 
 ## Advertising banner (`components/AdBanner.svelte` in `components/Header.svelte`, `lib/banner.ts` + `lib/bannerEngine.ts`)