Improvements for set_output tool prompt/params parsing #5960

Job	Run time
build-and-check	3m 11s
test-integration-packages/internal	1m 15s
test-integration-packages/billing	1m 6s
test-integration-web	45s
test-integration-sdk	1m 16s
test-integration-common	45s
test-packages/agent-runtime	44s
test-packages/internal	52s
test-packages/billing	48s
test-.agents	42s
test-integration-packages/agent-runtime	44s
test-web	49s
test-integration-cli	48s
test-common	41s
test-cli	54s
test-sdk	46s
	16m 6s

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