gh-108550: Speed up sqlite3 tests (#108551)

Refactor the CLI so we can easily invoke it and mock command-line
arguments. Adapt the CLI tests so we no longer have to launch a
separate process.

Disable the busy handler for all concurrency tests; we have full
control over the order of the SQLite C API calls, so we can safely
do this.

The sqlite3 test suite now completes ~8 times faster than before.

Co-authored-by: Serhiy Storchaka <storchaka@gmail.com>