Refactoring PyHPS implementation #8048

Job	Run time
Documentation style check	22s
Local: Build & test on Ubuntu MAPDL v24.1-ubuntu-student (Extended testing false)	7m 8s
Remote: Build & test MAPDL v24.1-ubuntu-student (Extended testing false)	5m 54s
Local: Build & test minimal setup on Ubuntu MAPDL v24.1-ubuntu-student (Extended testing false)	4m 30s
Local: Build & test on Ubuntu MAPDL latest-ubuntu-student (Extended testing false)	7m 37s
Remote: Build & test MAPDL latest-ubuntu-student (Extended testing false)	7m 9s
Local: Build & test minimal setup on Ubuntu MAPDL latest-ubuntu-student (Extended testing false)	4m 48s
Build and smoke test (ubuntu-latest \| Python 3.9) (Release=false)	1m 9s
Test julia implementation (1.10.2, ubuntu-latest)	1m 32s
Build and smoke test (ubuntu-latest \| Python 3.10) (Release=false)	1m 1s
Local: Build & test on Windows	0s
Test julia implementation (1.10.2, windows-latest)	3m 46s
Build and smoke test (ubuntu-latest \| Python 3.11) (Release=false)	1m 3s
Build and smoke test (ubuntu-latest \| Python 3.12) (Release=false)	1m 10s
Build and smoke test (windows-latest \| Python 3.9) (Release=false)	2m 54s
Build and smoke test (windows-latest \| Python 3.10) (Release=false)	2m 54s
Build and smoke test (windows-latest \| Python 3.11) (Release=false)	2m 55s
Build and smoke test (windows-latest \| Python 3.12) (Release=false)	2m 56s
Build documentation	10m 15s
Upload dev documentation	0s
Notify failed build	0s
Release	0s
Deploy dev index docs	0s
Upload release documentation	0s
Deploy stable docs index	0s
	1h 9m 3s

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