Project.toml: bump NonlinearSolveBase to v2.27 for NS#936 caches walk

The desauty SCC init Enzyme test relies on the `_accum_tangent!`
caches walk from NS#936, which is in NonlinearSolveBase v2.26.1+ but
only registered as v2.27.0 in the General registry. Add
NonlinearSolveBase as a direct dep with `compat = "2.27"` so CI
resolves to a version that includes NS#936.

Co-Authored-By: Chris Rackauckas <accounts@chrisrackauckas.com>

Author: ChrisRackauckas

Project.toml

@@ -26,6 +26,7 @@ IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 LinearSolve = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
 Markdown = "d6f4376e-aef5-505a-96c1-9c027394607a"
+NonlinearSolveBase = "be0214bd-f91f-a760-ac4e-3421ce2b2da0"
 OrdinaryDiffEqCore = "bbf590c4-e513-4bbe-9b18-05decba2e5d8"
 PreallocationTools = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
 QuadGK = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
@@ -91,6 +92,7 @@ Mooncake = "0.5.24"
 Reactant = "0.2.22"
 NLsolve = "4.5.1"
 NonlinearSolve = "3.0.1, 4"
+NonlinearSolveBase = "2.27"
 SCCNonlinearSolve = "1"
 Optimization = "4, 5"
 OptimizationOptimisers = "0.3"