Add version-specific broken markers for JET tests

The JET tests that fail on Julia < 1.12 now pass on Julia nightly/pre-release
(1.12+) due to improvements in type inference in the Julia stdlib (LinearAlgebra,
Printf) and better constant propagation.

Version-specific broken markers added for:
- Dense Factorizations: QRFactorization, LDLtFactorization, BunchKaufmanFactorization
- Extension Factorizations: FastLUFactorization, FastQRFactorization
- Krylov Methods: KrylovJL_GMRES, KrylovJL_MINRES, KrylovJL_MINARES

These tests will:
- Be marked as broken (expected to fail) on Julia < 1.12
- Run normally (expected to pass) on Julia >= 1.12

This follows the same pattern as the existing Dual tests which are version-specific
for Julia < 1.11 vs >= 1.11.

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

Co-Authored-By: Claude <noreply@anthropic.com>

Author: ChrisRackauckas

test/nopre/jet.jl

@@ -60,20 +60,32 @@ dual_prob = LinearProblem(A, b)
     # JET.@test_opt solve(prob_spd, CholeskyFactorization())
     # JET.@test_opt solve(prob, SVDFactorization())
 
-    # These tests still have runtime dispatch issues
-    JET.@test_opt solve(prob, QRFactorization()) broken=true
-    JET.@test_opt solve(prob_sym, LDLtFactorization()) broken=true
-    JET.@test_opt solve(prob_sym, BunchKaufmanFactorization()) broken=true
+    # These tests have runtime dispatch issues on Julia < 1.12
+    # Fixed in Julia nightly/pre-release (1.12+)
+    if VERSION < v"1.12.0-"
+        JET.@test_opt solve(prob, QRFactorization()) broken=true
+        JET.@test_opt solve(prob_sym, LDLtFactorization()) broken=true
+        JET.@test_opt solve(prob_sym, BunchKaufmanFactorization()) broken=true
+    else
+        JET.@test_opt solve(prob, QRFactorization())
+        JET.@test_opt solve(prob_sym, LDLtFactorization())
+        JET.@test_opt solve(prob_sym, BunchKaufmanFactorization())
+    end
     JET.@test_opt solve(prob, GenericFactorization()) broken=true
 end
 
 @testset "JET Tests for Extension Factorizations" begin
     # RecursiveFactorization.jl extensions
     # JET.@test_opt solve(prob, RFLUFactorization())
 
-    # These tests still have runtime dispatch issues
-    JET.@test_opt solve(prob, FastLUFactorization()) broken=true
-    JET.@test_opt solve(prob, FastQRFactorization()) broken=true
+    # These tests have runtime dispatch issues on Julia < 1.12
+    if VERSION < v"1.12.0-"
+        JET.@test_opt solve(prob, FastLUFactorization()) broken=true
+        JET.@test_opt solve(prob, FastQRFactorization()) broken=true
+    else
+        JET.@test_opt solve(prob, FastLUFactorization())
+        JET.@test_opt solve(prob, FastQRFactorization())
+    end
 
     # Platform-specific factorizations (may not be available on all systems)
     if @isdefined(MKLLUFactorization)
@@ -118,10 +130,16 @@ end
     # SimpleGMRES passes JET tests
     # JET.@test_opt solve(prob, SimpleGMRES())
 
-    # These tests still have Printf runtime dispatch issues in Krylov.jl
-    JET.@test_opt solve(prob, KrylovJL_GMRES()) broken=true
-    JET.@test_opt solve(prob_sym, KrylovJL_MINRES()) broken=true
-    JET.@test_opt solve(prob_sym, KrylovJL_MINARES()) broken=true
+    # These tests have Printf runtime dispatch issues in Krylov.jl on Julia < 1.12
+    if VERSION < v"1.12.0-"
+        JET.@test_opt solve(prob, KrylovJL_GMRES()) broken=true
+        JET.@test_opt solve(prob_sym, KrylovJL_MINRES()) broken=true
+        JET.@test_opt solve(prob_sym, KrylovJL_MINARES()) broken=true
+    else
+        JET.@test_opt solve(prob, KrylovJL_GMRES())
+        JET.@test_opt solve(prob_sym, KrylovJL_MINRES())
+        JET.@test_opt solve(prob_sym, KrylovJL_MINARES())
+    end
 
     # Extension Krylov methods (require extensions)
     # KrylovKitJL_CG, KrylovKitJL_GMRES require KrylovKit to be loaded