[CI] Update `release_tests_binaries` Dockerfile to hardcode base image tag (#20393)
Before this PR:
https://github.com/intel/llvm/actions/runs/18595720667/job/53022842454?pr=20391
After this PR:
https://github.com/intel/llvm/actions/runs/18595720667/job/53040472511?pr=20391
This PR fixes the following test failures:
```
Failed Tests (2):
SYCL :: Matrix/SG32/joint_matrix_bfloat16.cpp
********************
Unexpectedly Passed Tests (2):
SYCL :: Matrix/joint_matrix_bfloat16_accumulator.cpp
SYCL :: Matrix/joint_matrix_half_accumulator.cpp
```
Hardcoding image tag helps stabilizing igc driver and prevents E2E tests
from failing on sycl-rel 6.3 compat testing, when sycl-rel docker image
is re-build
---------
Co-authored-by: Andrei Elovikov <andrei.elovikov@intel.com>