Test `NeoFSStateSyncExtensions` on large chains

[AnnaShaleva]

Is your feature request related to a problem? Please describe.

NeoFSStateSyncExtensions are tested only on private network with low number of blocks (~200K).

Describe the solution you'd like

Test NeoFSStateSyncExtensions on FS chains at 15M+ blocks and on N3 chains as far. Ensure state synchronisation works as expected in different scenarios: interruption in the middle of headers/blocks/MPT sync/statejump, problems with connection to NeoFS storage etc. Ensure state compatibility and node's DB completeness.

Describe alternatives you've considered

Leave it to @532910.

Additional context

Depends on #3898, #3825 and we don't yet have state data uploaded to NeoFS mainnet, so need to run uploaders firstly.