Clean up API for create inner model

Author: blegat

src/MOI_wrapper.jl

@@ -30,10 +30,12 @@ Solver name: Dual model with HiGHS attached
 function dual_optimizer(
     optimizer_constructor;
     coefficient_type::Type{T} = Float64,
+    with_cache_type = coefficient_type,
+    with_bridge_type = coefficient_type,
     kwargs...,
 ) where {T<:Number}
-    return () ->
-        DualOptimizer{T}(MOI.instantiate(optimizer_constructor), kwargs...)
+    inner = MOI.instantiate(optimizer_constructor; with_cache_type, with_bridge_type)
+    return () -> DualOptimizer{T}(inner, kwargs...)
 end
 
 struct DualOptimizer{T,OT<:MOI.ModelLike} <: MOI.AbstractOptimizer
@@ -84,19 +86,8 @@ function DualOptimizer{T}(
     dual_optimizer::OT;
     kwargs...,
 ) where {T,OT<:MOI.ModelLike}
-    dual_problem = DualProblem{T}(
-        MOI.Bridges.full_bridge_optimizer(
-            MOI.Utilities.CachingOptimizer(
-                MOI.Utilities.UniversalFallback(MOI.Utilities.Model{T}()),
-                dual_optimizer,
-            ),
-            T,
-        ),
-    )
-    # discover the type of
-    # MOI.Utilities.CachingOptimizer(MOI.Utilities.Model{T}(), dual_optimizer)
-    OptimizerType = typeof(dual_problem.dual_model)
-    return DualOptimizer{T,OptimizerType}(dual_problem, kwargs...)
+    dual_problem = DualProblem{T}(dual_optimizer)
+    return DualOptimizer{T,typeof(dual_optimizer)}(dual_problem; kwargs...)
 end
 
 DualOptimizer() = error("DualOptimizer must have a solver attached")