Fix respawning of pool instances have different names #6100

Job	Run time
Documentation style check	18s
Build and smoke tests (ubuntu-latest, 3.8, false)	2m 7s
Build and smoke tests (ubuntu-latest, 3.9, false)	2m 14s
Remote: Build & test (v23.1.0, false)	8m 27s
Build and smoke tests (ubuntu-latest, 3.10, false)	1m 51s
Remote: Build & test (v23.2.0, false)	7m 3s
Local: Build & test minimal package on Ubuntu	55m 0s
Build and smoke tests (ubuntu-latest, 3.11, false)	2m 10s
Remote: Build & test (v24.1.0, false)	8m 41s
Build and smoke tests (windows-latest, 3.8, false)	4m 15s
Local: Build & test on Ubuntu	12m 16s
Local: Build & test on Windows	0s
Build and smoke tests (windows-latest, 3.9, false)	5m 11s
Build and smoke tests (windows-latest, 3.10, false)	3m 29s
Build and smoke tests (windows-latest, 3.11, false)	3m 27s
Build documentation	12m 54s
Upload dev documentation	0s
release	0s
Deploy dev index docs	0s
Notify failed build	0s
Upload release documentation	0s
Deploy stable docs index	0s
	2h 9m 23s

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