Add forwarddiff compatibility and use it for linearisation #1208

Job	Run time
Julia 1.12 - ubuntu-latest - x64 - pull_request	21m 20s
Julia 1.12 - macOS-latest - aarch64 - pull_request	20m 11s
Julia 1.12 - windows-latest - x64 - pull_request	27m 45s
Julia 1.12 - ubuntu-latest - x64 - with code coverage	10m 33s
Julia 1.11 - ubuntu-latest - x64 - with code coverage	15m 34s
Documentation	11m 21s
Julia 1.11 - ubuntu-latest - x64 - pull_request	18m 48s
	2h 5m 32s

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