YDB client logger does not write fields from context

[gy2411]

YDB client uses its own logger, which calls methods of underlying logger (code). It should write fields from context, but it does not. In particular, it does not write syslog identifier.

Proposed solution:

1. Make possible to add arbitrariy logging fields to context.
2. In the YDB client logger, add all necessary fields to the context and then call functions from the interface.