Support Dual propagation in out-of-place DAE array residuals

[utkuyilmaz1903]

Problem

#4983 array-valued implicit DAE residuals. #5049 makes the out-of-place
ArrayMaker path Dual-safe for NonlinearProblem only.

DAEProblem{false} still uses the default zeros(size) allocator. That
buffer is Float64, so ForwardDiff.Dual on du, u, parameters, or t
is dropped. In-place DAE is unaffected.

Requested change

Give DAEProblem{false} the same residual-eltype promotion already used
on the nonlinear OOP path. Do not change nonlinear residual behavior.

Required coverage

• ForwardDiff.jacobian / Dual eltype through du, u, tunable p, and t
• split and non-split parameter structures
• generated expression = Val{true} path
• existing 4983 IIP DAE tests remain green