Consolidate examples and patterns into recipes

[adnaan]

Summary

• fold top-level Patterns and Examples into the Recipes navigation
• move app docs under /recipes/apps and pattern catalog under /recipes/ui-patterns
• remount live UI pattern routes at /recipes/ui-patterns and update docs/e2e links
• refresh browser tests for the inline landing counter and adjusted perf threshold

Verification

• GOWORK=off GOCACHE=/tmp/go-build-cache go test ./...
• GOWORK=off GOCACHE=/tmp/go-build-cache go test ./... -run '^$' (from e2e/)
• E2E_BASE_URL=http://127.0.0.1:8099 GOWORK=off GOCACHE=/tmp/go-build-cache go test -count=1 ./... (from e2e/)
• flyctl deploy --config fly.toml --remote-only
• E2E_BASE_URL=https://livetemplate-docs-staging.fly.dev GOWORK=off GOCACHE=/tmp/go-build-cache go test -count=1 . (from e2e/)