[clang] [clang] Refactor: Move CTAD code from SemaTemplate.cpp to a dedicated file, NFC (PR #98524)

[LLVM Continuous Integration via cfe-commits]

llvm-ci wrote:

LLVM Buildbot has detected a new failure on builder `openmp-s390x-linux` running on `systemz-1` while building `clang` at step 6 "test-openmp".

Full details are available at: https://lab.llvm.org/buildbot/#/builders/88/builds/912

Here is the relevant piece of the build log for the reference:
```
Step 6 (test-openmp) failure: 1200 seconds without output running [b'ninja', b'-j 4', b'check-openmp'], attempting to kill
...
PASS: ompd-test :: openmp_examples/example_2.c (426 of 436)
PASS: ompd-test :: openmp_examples/example_4.c (427 of 436)
PASS: ompd-test :: openmp_examples/example_5.c (428 of 436)
PASS: ompd-test :: openmp_examples/example_task.c (429 of 436)
UNSUPPORTED: ompd-test :: openmp_examples/ompd_bt.c (430 of 436)
PASS: ompd-test :: openmp_examples/fibonacci.c (431 of 436)
UNSUPPORTED: ompd-test :: openmp_examples/ompd_parallel.c (432 of 436)
PASS: ompd-test :: openmp_examples/parallel.c (433 of 436)
PASS: ompd-test :: openmp_examples/ompd_icvs.c (434 of 436)
PASS: ompd-test :: openmp_examples/nested.c (435 of 436)
command timed out: 1200 seconds without output running [b'ninja', b'-j 4', b'check-openmp'], attempting to kill
process killed by signal 9
program finished with exit code -1
elapsedTime=1303.644353

```

https://github.com/llvm/llvm-project/pull/98524