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ForwardDiff v1 dispatches Partials scaling and division through internal _mul_partial/_div_partial helpers that only ship Real-Real methods. Higher derivative orders route ThickNumber-valued arguments through them (partial tuple elements and/or the deriv/factor operand), so every ThickNumber/Real combination needs its own method.
Julia 1.9's package-extension loading is too fragile for the ForwardDiff extension: ForwardDiff itself resolves to an old 0.10.x release there and the extension doesn't apply, so `derivative` on an Interval has no matching method. Bump the julia compat floor to 1.10 and switch the CI matrix from a hardcoded '1.9' to 'min', so it always tracks the compat floor. Also refreshes actions/checkout, julia-actions/setup-julia, julia-actions/cache, and codecov-action to their current majors (the old ones were flagged as running on deprecated Node 20); adds the CODECOV_TOKEN now required by codecov-action v4+.
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ForwardDiff v1 dispatches Partials scaling and division through internal _mul_partial/_div_partial helpers that only ship Real-Real methods. Higher derivative orders route ThickNumber-valued arguments through them (partial tuple elements and/or the deriv/factor operand), so every ThickNumber/Real combination needs its own method.