Can't invert Diagonal{Int, InfUnitRange}

[DanielVandH]

julia> using InfiniteArrays, LinearAlgebra

julia> A = Diagonal(1:∞)
ℵ₀×ℵ₀ Diagonal{Int64, InfiniteArrays.InfUnitRange{Int64}} with indices OneToInf()×OneToInf():
 1  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  …  
 ⋅  2  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅     
 ⋅  ⋅  3  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅
 ⋅  ⋅  ⋅  4  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅
 ⋅  ⋅  ⋅  ⋅  5  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅
 ⋅  ⋅  ⋅  ⋅  ⋅  6  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  …
 ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  7  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅  ⋅
 ⋮              ⋮              ⋮              ⋮              ⋮              ⋮              ⋮              ⋮              ⋮              ⋮  ⋱

julia> inv(A) # hangs because it hits the finite method
ERROR: InterruptException:
Stacktrace:
 [1] _vec_resizedata!(B::LazyArrays.CachedArray{Float64, 1, Vector{Float64}, Zeros{Float64, 1, Tuple{…}}}, n::Int64)
   @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\MLFsy\src\cache.jl:230
 [2] resizedata!
   @ C:\Users\User\.julia\packages\LazyArrays\MLFsy\src\cache.jl:251 [inlined]
 [3] resizedata!
   @ C:\Users\User\.julia\packages\LazyArrays\MLFsy\src\cache.jl:218 [inlined]
 [4] setindex!
   @ C:\Users\User\.julia\packages\LazyArrays\MLFsy\src\cache.jl:82 [inlined]
 [5] inv(D::Diagonal{Int64, InfiniteArrays.InfUnitRange{Int64}})
   @ LinearAlgebra C:\Users\User\.julia\juliaup\julia-1.10.4+0.x64.w64.mingw32\share\julia\stdlib\v1.10\LinearAlgebra\src\diagonal.jl:722
 [6] top-level scope
   @ REPL[11]:1
Some type information was truncated. Use `show(err)` to see complete types.

julia> Diagonal(inv.(A.diag))
ℵ₀×ℵ₀ Diagonal{Float64, LazyArrays.BroadcastVector{Float64, typeof(inv), Tuple{InfiniteArrays.InfUnitRange{Int64}}}} with indices OneToInf()×OneToInf():
 1.0   ⋅    ⋅         ⋅     ⋅    ⋅         ⋅         ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅   …  
  ⋅   0.5   ⋅         ⋅     ⋅    ⋅         ⋅         ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅
  ⋅    ⋅   0.333333   ⋅     ⋅    ⋅         ⋅         ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅
  ⋅    ⋅    ⋅        0.25   ⋅    ⋅         ⋅         ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅
  ⋅    ⋅    ⋅         ⋅    0.2   ⋅         ⋅         ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅      
  ⋅    ⋅    ⋅         ⋅     ⋅   0.166667   ⋅         ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅   …
  ⋅    ⋅    ⋅         ⋅     ⋅    ⋅        0.142857   ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅    ⋅
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