Data race in TestMicroServicesIntegrationV1

I'm almost sure it is a test-specific issue.

It's worths fixing either way:

```
==================
WARNING: DATA RACE
Write at 0x00c006755230 by goroutine 60260:
runtime.mapaccess2_faststr()
/opt/hostedtoolcache/go/1.23.8/arm64/src/runtime/map_faststr.go:117 +0x42c
github.com/grafana/dskit/ring.(*Desc).mergeWithTime()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/model.go:222 +0xa9c
github.com/grafana/dskit/ring.(*Desc).Merge()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/model.go:188 +0x50
github.com/grafana/dskit/kv/memberlist.computeNewValue()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1426 +0x50
github.com/grafana/dskit/kv/memberlist.(*KV).mergeValueForKey()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1377 +0x1c0
github.com/grafana/dskit/kv/memberlist.(*KV).mergeBytesValueForKey()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1358 +0x13c
github.com/grafana/dskit/kv/memberlist.(*KV).MergeRemoteState()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1319 +0x30c
github.com/hashicorp/memberlist.(*Memberlist).mergeRemoteState()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:1261 +0x190
github.com/hashicorp/memberlist.(*Memberlist).handleConn()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:309 +0xb70
github.com/hashicorp/memberlist.(*Memberlist).streamListen.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:224 +0x4c

Previous read at 0x00c00675[523](https://github.com/grafana/pyroscope/actions/runs/15358153111/job/43227382166?pr=4213#step:5:524)0 by goroutine 59790:
runtime.mapdelete()
/opt/hostedtoolcache/go/1.23.8/arm64/src/runtime/map.go:741 +0x43c
github.com/grafana/dskit/ring.(*Lifecycler).updateCounters()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/lifecycler.go:920 +0xc8
github.com/grafana/dskit/ring.(*Lifecycler).initRing()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/lifecycler.go:712 +0x618
github.com/grafana/dskit/ring.(*Lifecycler).loop()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/lifecycler.go:465 +0x50
github.com/grafana/dskit/ring.(*Lifecycler).loop-fm()
:1 +0x44
github.com/grafana/dskit/services.(*BasicService).main()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:190 +0x2ac
github.com/grafana/dskit/services.(*BasicService).StartAsync.func1.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:119 +0x34

Goroutine 60260 (running) created at:
github.com/hashicorp/memberlist.(*Memberlist).streamListen()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:224 +0x30
github.com/hashicorp/memberlist.newMemberlist.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/memberlist.go:227 +0x34

Goroutine 59790 (running) created at:
github.com/grafana/dskit/services.(*BasicService).StartAsync.func1()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:119 +0x1ac
github.com/grafana/dskit/services.(*BasicService).switchState()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:139 +0xd8
github.com/grafana/dskit/services.(*BasicService).StartAsync()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:116 +0x84
github.com/grafana/dskit/ring.(*Lifecycler).StartAsync()
:1 +0x50
github.com/grafana/dskit/services.(*Manager).StartAsync()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/manager.go:79 +0xa0
github.com/grafana/dskit/services.StartManagerAndAwaitHealthy()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/manager.go:331 +0xa8
github.com/grafana/pyroscope/pkg/ingester.(*Ingester).starting()
/home/runner/work/pyroscope/pyroscope/pkg/ingester/ingester.go:152 +0x58
github.com/grafana/pyroscope/pkg/ingester.(*Ingester).starting-fm()
:1 +0x20
github.com/grafana/dskit/services.(*BasicService).main()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:157 +0xac
github.com/grafana/dskit/services.(*BasicService).StartAsync.func1.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:119 +0x34
==================
==================
WARNING: DATA RACE
Write at 0x00c093392c38 by goroutine 60260:
github.com/grafana/dskit/ring.(*Desc).mergeWithTime()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/model.go:266 +0x934
github.com/grafana/dskit/ring.(*Desc).Merge()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/model.go:188 +0x50
github.com/grafana/dskit/kv/memberlist.computeNewValue()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1426 +0x50
github.com/grafana/dskit/kv/memberlist.(*KV).mergeValueForKey()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1377 +0x1c0
github.com/grafana/dskit/kv/memberlist.(*KV).mergeBytesValueForKey()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1358 +0x13c
github.com/grafana/dskit/kv/memberlist.(*KV).MergeRemoteState()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/kv/memberlist/memberlist_client.go:1319 +0x30c
github.com/hashicorp/memberlist.(*Memberlist).mergeRemoteState()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:1261 +0x190
github.com/hashicorp/memberlist.(*Memberlist).handleConn()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:309 +0xb70
github.com/hashicorp/memberlist.(*Memberlist).streamListen.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:224 +0x4c

Previous read at 0x00c093392c38 by goroutine 59790:
github.com/grafana/dskit/ring.(*Lifecycler).updateCounters()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-2023122101[591](https://github.com/grafana/pyroscope/actions/runs/15358153111/job/43227382166?pr=4213#step:5:592)4-de83901bf4d6/ring/lifecycler.go:920 +0x98
github.com/grafana/dskit/ring.(*Lifecycler).initRing()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/lifecycler.go:712 +0x618
github.com/grafana/dskit/ring.(*Lifecycler).loop()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/ring/lifecycler.go:465 +0x50
github.com/grafana/dskit/ring.(*Lifecycler).loop-fm()
:1 +0x44
github.com/grafana/dskit/services.(*BasicService).main()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:190 +0x2ac
github.com/grafana/dskit/services.(*BasicService).StartAsync.func1.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:119 +0x34

Goroutine 60260 (running) created at:
github.com/hashicorp/memberlist.(*Memberlist).streamListen()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/net.go:224 +0x30
github.com/hashicorp/memberlist.newMemberlist.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/memberlist@v0.3.1-0.20220708130638-bd88e10a3d91/memberlist.go:227 +0x34

Goroutine [597](https://github.com/grafana/pyroscope/actions/runs/15358153111/job/43227382166?pr=4213#step:5:598)90 (running) created at:
github.com/grafana/dskit/services.(*BasicService).StartAsync.func1()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:119 +0x1ac
github.com/grafana/dskit/services.(*BasicService).switchState()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:139 +0xd8
github.com/grafana/dskit/services.(*BasicService).StartAsync()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:116 +0x84
github.com/grafana/dskit/ring.(*Lifecycler).StartAsync()
:1 +0x50
github.com/grafana/dskit/services.(*Manager).StartAsync()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/manager.go:79 +0xa0
github.com/grafana/dskit/services.StartManagerAndAwaitHealthy()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/manager.go:331 +0xa8
github.com/grafana/pyroscope/pkg/ingester.(*Ingester).starting()
/home/runner/work/pyroscope/pyroscope/pkg/ingester/ingester.go:152 +0x58
github.com/grafana/pyroscope/pkg/ingester.(*Ingester).starting-fm()
:1 +0x20
github.com/grafana/dskit/services.(*BasicService).main()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:157 +0xac
github.com/grafana/dskit/services.(*BasicService).StartAsync.func1.gowrap1()
/home/runner/go/pkg/mod/github.com/grafana/dskit@v0.0.0-20231221015914-de83901bf4d6/services/basic_service.go:119 +0x34
==================
```

Start by locating TestMicroServicesIntegrationV1 and running it with Go's race detector. Read the reported call paths through pkg/ingester/ingester.go and the dskit ring/memberlist interactions to determine the ownership conflict. Done means the integration test completes without the reported data races.

Written by the indexing model from the issue text.