Add more `idaklu` solver options (number 2) #9913

Job	Run time
style	31s
Example notebooks (ubuntu-latest / Python 3.12)	23m 3s
Example scripts (ubuntu-latest / Python 3.12)	16m 35s
Doctests (ubuntu-latest / Python 3.11)	5m 40s
Tests (ubuntu-latest / Python 3.9)	30m 54s
Tests (ubuntu-latest / Python 3.10)	32m 7s
Tests (ubuntu-latest / Python 3.11)	29m 44s
Tests (ubuntu-latest / Python 3.12)	34m 55s
Tests (macos-12 / Python 3.9)	15m 12s
Tests (macos-12 / Python 3.10)	25m 28s
Tests (macos-12 / Python 3.11)	16m 33s
Tests (macos-12 / Python 3.12)	25m 12s
Tests (macos-14 / Python 3.9)	11m 24s
Tests (macos-14 / Python 3.10)	9m 46s
Tests (macos-14 / Python 3.11)	22m 0s
Tests (macos-14 / Python 3.12)	9m 53s
Tests (windows-latest / Python 3.9)	26m 11s
Tests (windows-latest / Python 3.10)	29m 9s
Tests (windows-latest / Python 3.11)	26m 11s
Tests (windows-latest / Python 3.12)	26m 19s
	6h 56m 47s

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