The error log has this message:
2024-01-26 09:57:14.76 spid23s There have been 256 misaligned log IOs which required falling back to synchronous IO. The current IO is on file C:\Program Files\Microsoft SQL Server\MSSQL16.SQLEXPRESS01\MSSQL\Template Data\master.mdf.
This is a known issue where Windows 11 for some disk drives reports a sector size that SQL Server does not cope with. Microsoft has published an article with workarounds for the problem.
Your setup has not completed, so your Express instance is likely to be half-baked. Then again, once you have applied the instructions in the article, localdb may work. (But I don't know for sure that it will.)