This usually happens when some old core files were not fully replaced during the web update.
On shared hosting with LiteSpeed, the web updater often leaves leftovers behind.
What I would do:
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Take a full backup.
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Download the complete 10.15.3 archive manually.
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Delete all ownCloud files except
configanddata. -
Upload the fresh files.
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Run
occ upgradeand thenocc integrity:check-core.
In most cases the integrity warning disappears because the core files are clean again.
If it still reports errors, check exactly which files fail and verify whether they were modified or not fully overwritten during the update.