We have this one and the same requirement, and we coped with this by writing insert / update / delete instructions that, when executed in the SQLLite database, update it.
We have a central SQLLite database, which is updated from some source. Updates should then be distributed to other SQLLite databases. We create SQL scripts and execute them against the databases that need to be updated.
Something like this will help you achieve what you are looking for.
Vivek madani
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