Add AQRE puzzle type support

[devin-ai-integration]

Summary

Adds full AQRE puzzle type support to icebarn-rs, including:

• PuzzleType enum (Icebarn, Aqre) with #[serde(default)] for backward-compatible deserialization
• BPZ parser extensions: PUZZLE-TYPE aqre, REGION row col id, RECT-REGION bl_row bl_col tr_row tr_col id
• Region-aware rendering: thick borders between different regions, thin borders within regions
• Click-to-shade / drag-to-shade interaction: left-click toggles cell shading, drag to shade/unshade multiple cells; line-drawing and right-click marking disabled for AQRE
• AQRE shading CSS: solid gray background with white text (no diagonal hatching overlay)
• Serialization fix: switched rmp_serde::to_vec → to_vec_named so new fields don't break existing stored room data
• 6 sample puzzle files: Basic ×3, Paint ×1, Spiral ×1, Binario ×1
• Multiplayer sync works automatically via existing CRDT marked/toggle_mark mechanism

Review & Testing Checklist for Human

• Serialization compatibility: Verify that existing multiplayer rooms still load correctly after this change (the switch to to_vec_named + #[serde(default)] should handle it, but worth verifying with real DB data)
• AQRE shading interaction: Open an AQRE puzzle in singleplayer, click cells to shade/unshade, drag across multiple cells — verify solid gray fill without diagonal hatching
• Region borders: Verify thick borders appear between different regions and thin borders within regions
• Icebarn regression: Verify existing icebarn puzzles still render and interact correctly (line drawing, portals, arrows)
• Sample puzzles: Replace the 6 sample .bpz files with actual BmMT 2026 competition puzzles

Notes

• The interactive() method on Cell hasn't been updated for AQRE — all non-removed cells are interactive by default since they have Shading::Default, which passes the existing check
• AQRE variant rules (Paint, Spiral, Binario) are not enforced in the editor — this is a puzzle editor, not a solver
• Cell text in AQRE uses smaller font (text-sm font-medium) to fit region count clues

Link to Devin session: https://app.devin.ai/sessions/d1ea1cd3b93444dda95af5fc775be43a
Requested by: @oliver-ni

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[devin-ai-integration]

Test Results — AQRE Puzzle Support

Ran app locally via cargo leptos watch, tested AQRE puzzle UI in Singleplayer mode end-to-end.

All 5 tests passed.

AQRE Puzzle Tests

• It should render AQRE puzzle with region borders and clue numbers — passed

  • 4×4 grid with thick borders between 2×2 regions, thin borders within. Clue numbers (1, 0, 3, 2) visible. No icebarn dots.

  

• It should shade cells on click without diagonal hatching — passed

  • Clicked cell shows solid gray fill. White text on clue numbers. No diagonal hatching stripes.

  

• It should shade multiple cells via drag — passed

  • Dragged across top row — all 4 cells shaded with solid gray.

  

• It should render different AQRE puzzles with correct region layouts — passed

  • Aqre Basic 3 (6×6), Paint 1, Spiral 1, Binario 1 all render with correct region borders and clues.

  Aqre Basic 3	Aqre Paint 1 + Binario 1

Regression Test

• [Regression] It should still draw lines in icebarn puzzles — passed

  • Red line drawn between two cells. Small gray dots visible. Line-drawing interaction intact.

  

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Devin session