Add Beads library API for Go integration

Expose full Storage interface and all types through public beads.go API,
enabling external Go projects (like VC) to import Beads directly instead
of spawning CLI processes.

Changes:
- Expanded beads.go with all public types (Issue, Dependency, Comment, etc.)
- Added all constants (Status, IssueType, DependencyType, EventType)
- Created comprehensive integration tests (beads_integration_test.go)
- Added library usage example at examples/library-usage/
- Documented library integration in README.md

Test coverage: 96.4% on public API, 14 integration tests, all passing.

Closes bd-58, bd-59

Amp-Thread-ID: https://ampcode.com/threads/T-f0093c79-7422-45e2-b0ed-0ddfebc9ffea
Co-authored-by: Amp <amp@ampcode.com>

examples/library-usage/go.mod

@@ -0,0 +1,22 @@
+module example.com/beads-library-demo
+
+go 1.24.0
+
+require github.com/steveyegge/beads v0.0.0
+
+require (
+	github.com/dustin/go-humanize v1.0.1 // indirect
+	github.com/google/uuid v1.6.0 // indirect
+	github.com/mattn/go-isatty v0.0.20 // indirect
+	github.com/ncruces/go-strftime v0.1.9 // indirect
+	github.com/remyoudompheng/bigfft v0.0.0-20230129092748-24d4a6f8daec // indirect
+	golang.org/x/exp v0.0.0-20250620022241-b7579e27df2b // indirect
+	golang.org/x/sys v0.36.0 // indirect
+	modernc.org/libc v1.66.3 // indirect
+	modernc.org/mathutil v1.7.1 // indirect
+	modernc.org/memory v1.11.0 // indirect
+	modernc.org/sqlite v1.38.2 // indirect
+)
+
+// For local development, replace with local path
+replace github.com/steveyegge/beads => ../..