Fix respawning of pool instances have different names #6160

Job	Run time
Documentation style check	22s
Build and smoke tests (ubuntu-latest, 3.8, false)	3m 2s
Build and smoke tests (ubuntu-latest, 3.9, false)	1m 57s
Remote: Build & test (v23.1.0, false)	9m 21s
Build and smoke tests (ubuntu-latest, 3.10, false)	2m 39s
Remote: Build & test (v23.2.0, false)	8m 0s
Local: Build & test on Ubuntu	11m 41s
Build and smoke tests (ubuntu-latest, 3.11, false)	2m 3s
Remote: Build & test (v24.1.0, false)	8m 28s
Build and smoke tests (windows-latest, 3.8, false)	4m 11s
Build and smoke tests (windows-latest, 3.9, false)	3m 30s
Build and smoke tests (windows-latest, 3.10, false)	3m 32s
Build and smoke tests (windows-latest, 3.11, false)	3m 47s
Local: Build & test on Windows	0s
Local: Build & test minimal package on Ubuntu	55m 3s
Build documentation	13m 40s
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 11m 16s

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