Add distributor inflight client request limit #10520

Job	Run time
lint	4m 21s
lint	4m 21s
test	16m 10s
test	15m 48s
CodeQL	6m 45s
CodeQL	6m 45s
build	4m 5s
build	4m 5s
integration-configs-db	2m 38s
integration-configs-db	2m 38s
integration (requires_docker)	7m 5s
integration (requires_docker)	7m 5s
integration (integration_alertmanager)	4m 8s
integration (integration_alertmanager)	4m 8s
integration (integration_backward_compatibility)	10m 22s
integration (integration_backward_compatibility)	10m 22s
integration (integration_memberlist)	7m 34s
integration (integration_memberlist)	7m 34s
integration (integration_querier)	15m 16s
integration (integration_querier)	15m 16s
integration (integration_ruler)	5m 46s
integration (integration_ruler)	5m 46s
integration (integration_query_fuzz)	5m 7s
integration (integration_query_fuzz)	5m 7s
deploy_website	0s
deploy_website	0s
deploy	0s
deploy	0s
	2h 58m 12s

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