Installs fine inside a centos 10 container:

[root@5125890ddd26 /]# dnf install https://kojipkgs.fedoraproject.org//packages/python-bcrypt/4.2.1/1.el10_0/x86_64/python3-bcrypt-4.2.1-1.el10_0.x86_64.rpm                           
CentOS Stream 10 - BaseOS                                                                                                                                   35 kB/s |  17 kB     00:00 
CentOS Stream 10 - AppStream                                                                                                                                36 kB/s |  17 kB     00:00 
CentOS Stream 10 - CRB                                                                                                                                     554 kB/s | 655 kB     00:01 
Extra Packages for Enterprise Linux 10 - x86_64                                                                                                            2.6 MB/s | 3.1 MB     00:01 
python3-bcrypt-4.2.1-1.el10_0.x86_64.rpm                                                                                                                   274 kB/s | 232 kB     00:00
Dependencies resolved.

And import is ok too:

[root@5125890ddd26 /]# python3
Python 3.12.8 (main, Dec  3 2024, 00:00:00) [GCC 14.2.1 20241104 (Red Hat 14.2.1-6)] on linux
Type "help", "copyright", "credits" or "license" for more information.
>>> import bcrypt
>>>