You can add conda-forge channel to conda. Conda-forge packages are updated faster. Someone on reddit said conda-forge will have 3.11 within a week.
https://anaconda.org/conda-forge/python
https://github.com/conda-forge/python-feedstock/pull/577
Using mamba to create a new encoding called py311 with python 3.11:
mamba create -n py311 python=3.11