Fix CUDA extension issues

- Remove stub init_cacheval for CudaOffloadLUFactorization from base package
  to avoid method overwriting error during precompilation
- Move CUDA from deps to weakdeps since it's only needed for the extension

These changes fix:
1. Method overwriting error during module precompilation
2. Aqua.jl stale deps test failure for CUDA

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

Author: claude

Project.toml

@@ -5,7 +5,6 @@ version = "3.33.0"
 
 [deps]
 ArrayInterface = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
 ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
 ConcreteStructs = "2569d6c7-a4a2-43d3-a901-331e8e4be471"
 DocStringExtensions = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
@@ -33,6 +32,7 @@ UnPack = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
 AMDGPU = "21141c5a-9bdb-4563-92ae-f87d6854732e"
 BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
 BlockDiagonals = "0a1fb500-61f7-11e9-3c65-f5ef3456f9f0"
+CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
 CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
 CUSOLVERRF = "a8cc9031-bad2-4722-94f5-40deabb4245c"
 CliqueTrees = "60701a23-6482-424a-84db-faee86b9b1f8"

src/factorization.jl

@@ -1210,10 +1210,6 @@ function init_cacheval(::BLISLUFactorization, A, b, u, Pl, Pr,
     nothing
 end
 
-function init_cacheval(::CudaOffloadLUFactorization, A, b, u, Pl, Pr,
-        maxiters::Int, abstol, reltol, verbose::LinearVerbosity, assumptions::OperatorAssumptions)
-    nothing
-end
 
 function init_cacheval(::MetalLUFactorization, A, b, u, Pl, Pr,
         maxiters::Int, abstol, reltol, verbose::LinearVerbosity, assumptions::OperatorAssumptions)