feat: rebuild website with full learning funnel

Website rebuilt from scratch based on analysis of 11 beloved language
websites (Elm, Zig, Gleam, Swift, Kotlin, Haskell, OCaml, Crystal, Roc,
Rust, Go).

New website structure:
- Homepage with hero, playground, three pillars, install guide
- Language Tour with interactive lessons (hello world, types, effects)
- Examples cookbook with categorized sidebar
- API documentation index
- Installation guide (Nix and source)
- Sleek/noble design (black/gold, serif typography)

Also includes:
- New stdlib/json.lux module for JSON serialization
- Enhanced stdlib/http.lux with middleware and routing
- New string functions (charAt, indexOf, lastIndexOf, repeat)
- LSP improvements (rename, signature help, formatting)
- Package manager transitive dependency resolution
- Updated documentation for effects and stdlib
- New showcase example (task_manager.lux)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

README.md

@@ -144,6 +144,7 @@ fn main(): Unit with {Console} =
 - String, List, Option, Result, Math, JSON modules
 - Console, File, Http, Random, Time, Process effects
 - SQL effect (SQLite with transactions)
+- PostgreSQL effect (connection pooling ready)
 - DOM effect (40+ browser operations)
 
 See: