Add custom emoji support (#18)

Site-wide, any user can upload -- usable both as reactions and inline
in message text via :shortcode:, alongside the existing built-in
Unicode picker. A :shortcode: reference is stored/sent as literal
text (same as the built-in shortcode convention) and resolved to an
image at render time, so it degrades to plain text if the emoji is
later deleted.

Backend: new custom_emoji table (shortcode unique, sized to fit
MessageReaction.emoji's existing column alongside its colons), upload/
list/delete endpoints (delete restricted to uploader or site admin).

Frontend: a CustomEmojiProvider context feeds a new "Custom" category
in the emoji picker (inline upload + hover-to-remove), extends the
composer's shortcode autocomplete, and a shared EmojiGlyph resolver
renders custom emoji wherever a value can appear -- message text,
reaction pills, and the picker itself.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

backend/app/main.py

@@ -15,6 +15,7 @@ from app.routers import (
     admin,
     auth,
     bots,
+    custom_emoji,
     custom_themes,
     health,
     push,
@@ -93,6 +94,7 @@ def create_app() -> FastAPI:
     app.include_router(users.router)
     app.include_router(push.router)
     app.include_router(custom_themes.router)
+    app.include_router(custom_emoji.router)
     app.include_router(uploads.router)
     app.include_router(admin.router)
     app.include_router(bots.router)