[Config] Update the Get Started tutorial for C connector

**Product:** Tarantool
**Since:** 3.0
**Root document:** https://www.tarantool.io/en/doc/latest/book/connectors/c/
**SME:** @ 

## Details

Use the same steps and sample database as for the [Connecting to a database using net.box](https://www.tarantool.io/en/doc/latest/how-to/getting_started_net_box/) tutorial.
See also: https://github.com/tarantool/doc/issues/3671.