Thank you @digamberpradhan, just tested and I confirm that everything works. Thank you for the support. Have a nice day.
Update:
this seems a wp bug because with the “quick edit” modal post menu I can modify the sticky property.
yes, I confirm that is a brand new docker installation of wp 5.9.2 with search-with-typesense 1.2.5
The typesense plugin is installed and configured. The problem is not with indexing but with publishing. After installing the plugin if I flag a post as “Stick to the top of the blog” the configuration is not saved by wordpress. If I deactivate the typesense plugin the bug doesn’t persist.