Automated cherry pick of #5188: Fix the issue of residual work in the MultiClusterService

[XiShanYongYe-Chang]

Cherry pick of #5188 on release-1.8.
#5188: Fix the issue of residual work in the MultiClusterService
For details on the cherry pick process, see the cherry pick requests page.

karmada-controller-manager: fix the issue of residual work in the MultiClusterService feature.

[RainbowMango]

The test is failing, seems releated:

STEP: Creating MultiClusterService(karmadatest-k7rxx/mcs-84vtk) @ 07/17/24 08:09:54.947
  STEP: Creating PropagationPolicy(karmadatest-k7rxx/mcs-8m7w7) @ 07/17/24 08:09:54.959
  STEP: Creating Pod(karmadatest-k7rxx/mcs-8m7w7) @ 07/17/24 08:09:54.969
  STEP: Creating Deployment(karmadatest-k7rxx/mcs-8m7w7) @ 07/17/24 08:09:54.976
  STEP: Creating Service(karmadatest-k7rxx/mcs-84vtk) @ 07/17/24 08:09:54.981
  STEP: Waiting for pod(karmadatest-k7rxx/mcs-8m7w7) synced on member clusters @ 07/17/24 08:09:54.998
  STEP: Waiting for deployment(karmadatest-k7rxx/mcs-8m7w7) synced on member clusters @ 07/17/24 08:10:00.011
  [FAILED] in [It] - /home/runner/work/karmada/karmada/test/e2e/mcs_test.go:713 @ 07/17/24 08:15:00.022
  STEP: Removing MultiClusterService(karmadatest-k7rxx/mcs-84vtk) @ 07/17/24 08:15:00.022
  STEP: Removing PropagationPolicy(karmadatest-k7rxx/mcs-8m7w7) @ 07/17/24 08:15:00.043
  STEP: Removing Pod(karmadatest-k7rxx/mcs-8m7w7) @ 07/17/24 08:15:00.049
  STEP: Removing Deployment(karmadatest-k7rxx/mcs-8m7w7) @ 07/17/24 08:15:05.067
  STEP: Removing Service(karmadatest-k7rxx/mcs-84vtk) @ 07/17/24 08:15:05.07
  << Timeline

  [FAILED] Timed out after 300.001s.
  Expected
      <bool>: false
  to be true
  In [It] at: /home/runner/work/karmada/karmada/test/e2e/mcs_test.go:713 @ 07/17/24 08:15:00.022

  Full Stack Trace
    github.com/karmada-io/karmada/test/e2e.glob..func20.6.3()
    	/home/runner/work/karmada/karmada/test/e2e/mcs_test.go:713 +0x403

[RainbowMango]

/lgtm
/approve

[karmada-bot]

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