syz-cluster/pkg/api: set deadlines for requests #15455

Job	Run time
dashboard	3m 8s
build	4m 15s
aux	3m 40s
arch (presubmit_arch_linux)	9m 16s
arch (presubmit_arch_freebsd)	5m 42s
gvisor	3m 16s
arch (presubmit_arch_netbsd)	3m 32s
old	6m 22s
race	9m 25s
arch (presubmit_arch_openbsd)	3m 30s
arch (presubmit_arch_darwin)	3m 24s
race_dashboard	3m 49s
arch (presubmit_arch_windows)	3m 16s
arch (presubmit_arch_executor)	3m 8s
	1h 5m 43s

Provide feedback