Meawhile

Get["OpenCLLink`OpenCLLink`"]

still prints and OpenCL does not work.

SetDelayed::write: Tag NVCCCompiler in NVCCCompiler[Available] is Protected.

SetDelayed::write: Tag NVCCCompiler in NVCCCompiler[Name][] is Protected.

SetDelayed::write: Tag NVCCCompiler in NVCCCompiler[Name][] is Protected.
General::stop: Further output of SetDelayed::write will be suppressed during this calculation.
Set::write: Tag NVCCCompiler in Options[NVCCCompiler] is Protected.
Set::write: Tag NVCCCompiler in Options[NVCCCompiler] is Protected.
Table::iterb: Iterator {CCompilerDriver`CCompilerDriverRegistry`Private`installation,NVCCCompiler[Installations][]} does not have appropriate bounds.
Table::iterb: Iterator {CCompilerDriver`CCompilerDriverRegistry`Private`installation,NVCCCompiler[Installations][]} does not have appropriate bounds.

OK thanks for the fix of renaming the library files. CUDAMap now gives correct results.

But please look at below image : CUDADot gives wrong results:

Very sorry about this. There should be a paclet update soon to resolve this issue on Linux (WL v13.3). In the meantime, you could try renaming the underlying Examples library:

e.g.:

mv ~/Wolfram/Mathematica/13.3/SystemFiles/Links/GPUTools/LibraryResources/Linux-x86-64/Examples_12.so ~/Wolfram/Mathematica/13.3/SystemFiles/Links/GPUTools/LibraryResources/Linux
-x86-64/libExamples_12.so

restart WL and retry:

Needs["CUDALink`"]
CUDAQ[]
CUDAMap[Cos, 1.*Range[10]]

Also, you mention CUDADot not giving the correct result, could you please provide an example.

Unfortunately Mathematica 13.2.1 still doesn't support nVIDIA CUDA Toolkit 12.0.1

Wolfram support says they are still working on it...

On my laptop running Ubuntu 22.10 both CUDA 11.8 and OpenCL 3.0 are working fine. I start Mathematica 13.2 with this shell script:

cat mathematica.sh 
export NVIDIA_DRIVER_LIBRARY_PATH=/usr/lib/x86_64-linux-gnu/libnvidia-tls.so.525.60.11
export CUDA_LIBRARY_PATH=/usr/lib/x86_64-linux-gnu/libcuda.so
export PATH=/home/bert/bin_gcc_11:/usr/local/cuda-11.8/bin:$PATH$
g++ --version
mathematica &

Then OpenCL looks like: