Gradients with respect to dictionaries don't work

In Julia 1.7.3:

julia> Zygote.gradient(x -> x["foo"]["bar"]^2, Dict("foo" => Dict("bar" => 5)))
(Dict{Any, Any}("foo" => Dict{Any, Any}("bar" => 10)),)

julia> Diffractor.gradient(x -> x["foo"]["bar"]^2, Dict("foo" => Dict("bar" => 5)))
ERROR: ArgumentError: Tangent for the primal Dict{String, Int64} should be backed by a AbstractDict type, not by NamedTuple{(:vals,), Tuple{Vector{Int64}}}.
Stacktrace:
 [1] _backing_error(P::Type, G::Type, E::Type)
   @ ChainRulesCore C:\Users\anhin\.julia\packages\ChainRulesCore\ctmSK\src\tangent_types\tangent.jl:62
 [2] ChainRulesCore.Tangent{Dict{String, Int64}, NamedTuple{(:vals,), Tuple{Vector{Int64}}}}(backing::NamedTuple{(:vals,), Tuple{Vector{Int64}}})
   @ ChainRulesCore C:\Users\anhin\.julia\packages\ChainRulesCore\ctmSK\src\tangent_types\tangent.jl:33
 [3] (::Diffractor.var"#162#164"{Symbol, DataType})(Δ::Vector{Int64})
   @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:309
 [4] (::Diffractor.EvenOddOdd{1, 1, Diffractor.var"#162#164"{Symbol, DataType}, Diffractor.var"#163#165"{Symbol}})(Δ::Vector{Int64})
   @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:289
 [5] ∂⃖¹₁getproperty
   @ .\none:1

and

julia> pars = Dict(:x=>0f0, "y"=>4f0, 8=>-3f0)
Dict{Any, Float32} with 3 entries:
  "y" => 4.0
  8   => -3.0
  :x  => 0.0

julia> function my_map(my_f, my_dict)
                  new_dict = Dict()
                  for k in keys(my_dict)
                      new_dict[k] = my_f(my_dict[k])
                  end
                  new_dict
              end
my_map (generic function with 1 method)

julia> function my_sum(my_dict)
                  s = 0f0
                  for k in keys(my_dict)
                      s += my_dict[k]
                  end
                  s
              end
my_sum (generic function with 1 method)

julia> my_sum(my_map(x->x^2, pars))
25.0f0

julia> Zygote.gradient(pars -> my_sum(my_map(x->x^2, pars)), pars)
(Dict{Any, Any}("y" => 8.0f0, 8 => -6.0f0, :x => 0.0f0),)

julia> Diffractor.gradient(pars -> my_sum(my_map(x->x^2, pars)), pars)
ERROR: MethodError: no method matching (::Diffractor.∂⃖recurse{1})(::typeof(Core.sizeof), ::Int64)
Closest candidates are:
  (::Diffractor.∂⃖recurse)(::Any...) at C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:406
Stacktrace:
  [1] macro expansion
    @ C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0 [inlined]
  [2] (::Diffractor.∂⃖recurse{1})(::typeof(Core.sizeof), ::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:415
  [3] (::∂⃖{1})(f::typeof(Core.sizeof), args::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
  [4] is_top_bit_set
    @ .\boot.jl:616 [inlined]
  [5] (::∂⃖{1})(f::typeof(Core.is_top_bit_set), args::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
  [6] check_top_bit
    @ .\boot.jl:626 [inlined]
  [7] (::Diffractor.∂⃖recurse{1})(::typeof(Core.check_top_bit), ::Type{UInt64}, ::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
  [8] (::∂⃖{1})(::typeof(Core.check_top_bit), ::Type, ::Vararg{Any})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
  [9] toUInt64
    @ .\boot.jl:737 [inlined]
 [10] (::Diffractor.∂⃖recurse{1})(::typeof(Core.toUInt64), ::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
 [11] (::∂⃖{1})(f::typeof(Core.toUInt64), args::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
 [12] UInt64
    @ .\boot.jl:767 [inlined]
 [13] (::Diffractor.∂⃖recurse{1})(::Type{UInt64}, ::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
 [14] (::∂⃖{1})(f::Type{UInt64}, args::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
 [15] convert
    @ .\number.jl:7 [inlined]
 [16] (::Diffractor.∂⃖recurse{1})(::typeof(convert), ::Type{UInt64}, ::Int64)
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
 [17] (::∂⃖{1})(::typeof(convert), ::Type, ::Vararg{Any})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
 [18] Dict
    @ .\dict.jl:90 [inlined]
 [19] (::Diffractor.∂⃖recurse{1})(args::Type{Dict{Any, Any}})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
 [20] (::∂⃖{1})(::Type{Dict{Any, Any}})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
 [21] Dict
    @ .\dict.jl:118 [inlined]
 [22] (::Diffractor.∂⃖recurse{1})(args::Type{Dict})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
 [23] (::∂⃖{1})(::Type{Dict})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
 [24] my_map
    @ .\REPL[20]:2 [inlined]
 [25] (::Diffractor.∂⃖recurse{1})(::typeof(my_map), ::var"#14#16", ::Dict{Any, Float32})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
 [26] (::∂⃖{1})(::typeof(my_map), ::Function, ::Vararg{Any})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
 [27] #13
    @ .\REPL[24]:1 [inlined]
 [28] (::Diffractor.∂⃖recurse{1})(::var"#13#15", ::Dict{Any, Float32})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:0
 [29] (::∂⃖{1})(f::var"#13#15", args::Dict{Any, Float32})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\stage1\generated.jl:216
 [30] ∂⃖(::Function, ::Vararg{Any})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\interface.jl:25
 [31] (::Diffractor.∇{var"#13#15"})(args::Dict{Any, Float32})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\interface.jl:123
 [32] Diffractor.∇(::Function, ::Dict{Any, Float32})
    @ Diffractor C:\Users\anhin\.julia\packages\Diffractor\WrKGJ\src\interface.jl:130
 [33] top-level scope
    @ REPL[24]:1

Start by reproducing both dictionary-gradient examples from the issue, then inspect the reported Diffractor stack frames in src/stage1/generated.jl and the ChainRulesCore tangent error. Trace how dictionary construction and lookup are differentiated; done means both examples run without errors and return dictionary gradients matching the demonstrated Zygote behavior.