Backend infers play direction; UI previews words and gates submit on legality

A single tile that only extended a word perpendicular to the client-declared
direction was rejected: the UI always sent dir=H for one-tile plays (the
dirOverride/Controls toggle was orphaned in the Stage 7 game rework), so placing
"А" above "БАК" to form "АБАК" failed the solver's main-word-length check even
though the word is in the dictionary.

Make the backend infer a play's orientation from the placed tiles and the board
(internal/engine.resolveDirection): two or more tiles by the line they share, a
lone tile by the axis it abuts (longer word wins, horizontal on a tie). Direction
becomes an output, not an input: drop dir from the SubmitPlay/Eval wire requests
and add it to EvalResult. Journal replay keeps trusting the stored "H"/"V"
(SubmitPlayDir) so a rebuilt game matches the one committed.

UI: stop computing/sending direction; the preview now shows the words a move
forms with its total score (game.previewWords); the make-move control is disabled
until the play is confirmed legal; the "your turn" label hides while tiles are
pending. Delete the orphaned Controls.svelte.

Regenerate the FlatBuffers bindings (Go + TS) and update the gateway transcode
and the loadtest edge client to the new contract. Bake the decision into
ARCHITECTURE.md (§5/§9.1), FUNCTIONAL.md (+ _ru) and the backend README.

backend/internal/engine/direction_test.go

@@ -0,0 +1,159 @@
+package engine
+
+import (
+	"errors"
+	"testing"
+
+	"gitea.iliadenisov.ru/developer/scrabble-solver/board"
+	"gitea.iliadenisov.ru/developer/scrabble-solver/scrabble"
+)
+
+// boardWith returns a 15x15 board with the given (row, col) cells occupied. The
+// concrete letter is irrelevant to direction inference, which reads only
+// occupancy, so every filler uses alphabet index 0.
+func boardWith(cells ...[2]int) *board.Board {
+	b := board.New(15, 15)
+	ps := make([]scrabble.Placement, len(cells))
+	for i, c := range cells {
+		ps[i] = scrabble.Placement{Row: c[0], Col: c[1], Letter: 0}
+	}
+	scrabble.Apply(b, scrabble.Move{Tiles: ps})
+	return b
+}
+
+// TestRunLength covers the word-span measurement that drives single-tile
+// direction inference, including the board edge.
+func TestRunLength(t *testing.T) {
+	tests := []struct {
+		name     string
+		filled   [][2]int
+		row, col int
+		dir      scrabble.Direction
+		want     int
+	}{
+		{"isolated horizontal", nil, 7, 7, scrabble.Horizontal, 1},
+		{"isolated vertical", nil, 7, 7, scrabble.Vertical, 1},
+		{"neighbour below", [][2]int{{8, 7}}, 7, 7, scrabble.Vertical, 2},
+		{"neighbour above", [][2]int{{6, 7}}, 7, 7, scrabble.Vertical, 2},
+		{"run below", [][2]int{{8, 7}, {9, 7}}, 7, 7, scrabble.Vertical, 3},
+		{"bridge vertical", [][2]int{{6, 7}, {8, 7}}, 7, 7, scrabble.Vertical, 3},
+		{"neighbour left", [][2]int{{7, 6}}, 7, 7, scrabble.Horizontal, 2},
+		{"neighbour right", [][2]int{{7, 8}}, 7, 7, scrabble.Horizontal, 2},
+		{"bridge horizontal", [][2]int{{7, 6}, {7, 8}}, 7, 7, scrabble.Horizontal, 3},
+		{"perpendicular ignored", [][2]int{{7, 6}}, 7, 7, scrabble.Vertical, 1},
+		{"top edge", [][2]int{{1, 0}}, 0, 0, scrabble.Vertical, 2},
+		{"left edge", [][2]int{{0, 1}}, 0, 0, scrabble.Horizontal, 2},
+	}
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			t.Parallel()
+			b := boardWith(tt.filled...)
+			if got := runLength(b, tt.row, tt.col, tt.dir); got != tt.want {
+				t.Errorf("runLength(%d,%d,%v) = %d, want %d", tt.row, tt.col, tt.dir, got, tt.want)
+			}
+		})
+	}
+}
+
+// TestResolveDirection covers orientation inference for both multi-tile plays
+// (fixed by the shared line) and the ambiguous single tile (the axis it abuts,
+// longer word winning and horizontal on a tie; disconnected falls back to
+// horizontal for the downstream rejection).
+func TestResolveDirection(t *testing.T) {
+	at := func(cells ...[2]int) []scrabble.Placement {
+		ps := make([]scrabble.Placement, len(cells))
+		for i, c := range cells {
+			ps[i] = scrabble.Placement{Row: c[0], Col: c[1]}
+		}
+		return ps
+	}
+	tests := []struct {
+		name   string
+		filled [][2]int
+		play   []scrabble.Placement
+		want   scrabble.Direction
+	}{
+		{"single extends down", [][2]int{{8, 7}, {9, 7}}, at([2]int{7, 7}), scrabble.Vertical},
+		{"single extends up", [][2]int{{6, 7}, {5, 7}}, at([2]int{7, 7}), scrabble.Vertical},
+		{"single extends left", [][2]int{{7, 6}}, at([2]int{7, 7}), scrabble.Horizontal},
+		{"single extends right", [][2]int{{7, 8}}, at([2]int{7, 7}), scrabble.Horizontal},
+		{"single both axes vertical longer", [][2]int{{6, 7}, {8, 7}, {7, 6}}, at([2]int{7, 7}), scrabble.Vertical},
+		{"single both axes horizontal longer", [][2]int{{7, 6}, {7, 8}, {6, 7}}, at([2]int{7, 7}), scrabble.Horizontal},
+		{"single both axes equal prefers horizontal", [][2]int{{6, 7}, {7, 6}}, at([2]int{7, 7}), scrabble.Horizontal},
+		{"single disconnected falls back to horizontal", nil, at([2]int{7, 7}), scrabble.Horizontal},
+		{"multi shared row is horizontal", nil, at([2]int{7, 7}, [2]int{7, 8}), scrabble.Horizontal},
+		{"multi shared column is vertical", nil, at([2]int{7, 7}, [2]int{8, 7}), scrabble.Vertical},
+		{"multi non-linear is vertical", nil, at([2]int{7, 7}, [2]int{8, 8}), scrabble.Vertical},
+	}
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			t.Parallel()
+			b := boardWith(tt.filled...)
+			if got := resolveDirection(b, tt.play); got != tt.want {
+				t.Errorf("resolveDirection = %v, want %v", got, tt.want)
+			}
+		})
+	}
+}
+
+// TestResolveDirectionEmpty checks the degenerate empty placement does not panic
+// and falls back to horizontal (Evaluate rejects the empty play downstream).
+func TestResolveDirectionEmpty(t *testing.T) {
+	if got := resolveDirection(boardWith(), nil); got != scrabble.Horizontal {
+		t.Errorf("resolveDirection(empty) = %v, want Horizontal", got)
+	}
+}
+
+// TestSubmitPlaySingleTileVerticalExtension is the regression for the reported
+// bug: a single tile placed above an existing vertical word forms a legal play
+// the engine must accept by inferring the vertical orientation. Trusting a
+// horizontal orientation (the pre-fix client default) wrongly rejects it.
+func TestSubmitPlaySingleTileVerticalExtension(t *testing.T) {
+	// БАК runs down column 7 (rows 7..9); the mover holds А and plays it at
+	// (6,7), prefixing АБАК. This mirrors the contour game that surfaced the bug.
+	setup := func(t *testing.T) (*Game, []TileRecord) {
+		t.Helper()
+		g, err := New(testReg, Options{Variant: VariantErudit, Version: testVersion, Players: 2, Seed: 1})
+		if err != nil {
+			t.Fatalf("new erudit game: %v", err)
+		}
+		idx := func(s string) byte {
+			i, err := g.rules.Alphabet.Index(s)
+			if err != nil {
+				t.Fatalf("index %q: %v", s, err)
+			}
+			return i
+		}
+		scrabble.Apply(g.board, scrabble.Move{Tiles: []scrabble.Placement{
+			{Row: 7, Col: 7, Letter: idx("б")},
+			{Row: 8, Col: 7, Letter: idx("а")},
+			{Row: 9, Col: 7, Letter: idx("к")},
+		}})
+		g.hands[0] = []byte{idx("а")}
+		return g, []TileRecord{{Row: 6, Col: 7, Letter: "а"}}
+	}
+
+	t.Run("inferred direction accepts the play", func(t *testing.T) {
+		g, tiles := setup(t)
+		rec, err := g.SubmitPlay(tiles)
+		if err != nil {
+			t.Fatalf("submit play: %v", err)
+		}
+		if rec.Dir != Vertical {
+			t.Errorf("direction = %v, want Vertical", rec.Dir)
+		}
+		if len(rec.Words) == 0 || rec.Words[0] != "абак" {
+			t.Errorf("words = %v, want main word абак", rec.Words)
+		}
+		if rec.Score <= 0 {
+			t.Errorf("score = %d, want positive", rec.Score)
+		}
+	})
+
+	t.Run("trusting horizontal rejects it", func(t *testing.T) {
+		g, tiles := setup(t)
+		if _, err := g.SubmitPlayDir(Horizontal, tiles); !errors.Is(err, ErrIllegalPlay) {
+			t.Errorf("submit horizontal = %v, want ErrIllegalPlay", err)
+		}
+	})
+}