refactor(benchmark-adapters): extract BaseBenchmarkClient + fix Eliza… #61

Job	Run time
benchmark (benchmark-tests, bunx vitest run --config packages/app-core/vitest.config.ts packages/...	1m 23s
benchmark (benchmark-lint, bunx @biomejs/biome check packages/app-core/src/benchmark)	1m 59s
	3m 22s

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