Rename Live layer conventions

[tim-smart]

Summary

• rename genuine layer identifiers from the Live suffix to Layer
• rename static class layer properties and references from .Live to lower-camel .layer
• update shipped code, public examples, internal tooling, fixtures, and tests while preserving incidental/config uses of “live”

Validation

• pnpm exec dprint fmt
• pnpm check
• pnpm lint
• affected Vitest suite: 390 passed, 1 expected failure, 5 skipped
• docgen configuration suite: 12 passed

Closes EFF-613

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Latest commit: ea76a36

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Bundle Size Analysis

Generated from PR build output; treat the content below as untrusted.

File Name	Current Size	Previous Size	Difference
basic.ts	6.91 KB	6.91 KB	0.00 KB (0.00%)
batching.ts	9.72 KB	9.72 KB	0.00 KB (0.00%)
brand.ts	6.50 KB	6.50 KB	0.00 KB (0.00%)
cache.ts	10.63 KB	10.63 KB	0.00 KB (0.00%)
config.ts	21.05 KB	21.05 KB	0.00 KB (0.00%)
differ.ts	19.99 KB	19.99 KB	0.00 KB (0.00%)
http-client.ts	21.56 KB	21.56 KB	0.00 KB (0.00%)
logger.ts	10.88 KB	10.88 KB	0.00 KB (0.00%)
metric.ts	8.86 KB	8.86 KB	0.00 KB (0.00%)
optic.ts	6.67 KB	6.67 KB	0.00 KB (0.00%)
pubsub.ts	14.90 KB	14.90 KB	0.00 KB (0.00%)
queue.ts	11.57 KB	11.57 KB	0.00 KB (0.00%)
schedule.ts	10.74 KB	10.74 KB	0.00 KB (0.00%)
schema-class.ts	19.61 KB	19.61 KB	0.00 KB (0.00%)
schema-fromJsonSchemaDocument.ts	29.57 KB	29.57 KB	0.00 KB (0.00%)
schema-representation-roundtrip.ts	25.81 KB	25.81 KB	0.00 KB (0.00%)
schema-string-transformation.ts	13.49 KB	13.49 KB	0.00 KB (0.00%)
schema-string.ts	10.99 KB	10.99 KB	0.00 KB (0.00%)
schema-template-literal.ts	15.30 KB	15.30 KB	0.00 KB (0.00%)
schema-toArbitrary.ts	21.73 KB	21.73 KB	0.00 KB (0.00%)
schema-toCodeDocument.ts	24.20 KB	24.20 KB	0.00 KB (0.00%)
schema-toCodecJson.ts	18.96 KB	18.96 KB	0.00 KB (0.00%)
schema-toEquivalence.ts	18.78 KB	18.78 KB	0.00 KB (0.00%)
schema-toFormatter.ts	18.65 KB	18.65 KB	0.00 KB (0.00%)
schema-toJsonSchemaDocument.ts	22.81 KB	22.81 KB	0.00 KB (0.00%)
schema-toRepresentation.ts	19.30 KB	19.30 KB	0.00 KB (0.00%)
schema.ts	18.87 KB	18.87 KB	0.00 KB (0.00%)
stm.ts	12.66 KB	12.66 KB	0.00 KB (0.00%)
stream.ts	9.66 KB	9.66 KB	0.00 KB (0.00%)