Rename analyze mode "summarize" to "synthesize"

[GsCommand]

Motivation

• Avoid semantic overlap between the first-class summarize verb and an analyze mode named summarize, preserving a clean verb/mode ontology.
• Provide an analysis-native alternative name that reflects synthesis-style analysis without subsuming summary generation semantics.

Description

• Replace the analyze.request v1.1.0 mode value "summarize" with "synthesize" in schemas/v1.1.0/commons/analyze/analyze.request.schema.json and add a mode description recommending use of the summarize verb for primary summary generation.
• Update shipped TypeScript examples to match the new mode by changing the AnalyzeMode union and example instances in examples/v1.1.0/commons/analyze/ts/valid/analyze.request.valid.1.ts and examples/v1.1.0/commons/analyze/ts/valid/analyze.request.valid.2.ts.
• Regenerate checksums.txt so published checksums reflect the updated schema artifact.

Testing

• Ran npm run checksums:gen, which regenerated checksums.txt successfully (wrote 45 checksums). ✅
• Ran npm run validate (which runs validate:schemas and validate:examples), and all 45 schemas compiled and all v1.0.0 and v1.1.0 examples validated successfully. ✅

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Codex Task