test: Reorganize backup/restore tests for speed and reliability

[BYK]

We should do the backup/restore tests after we do the basic tests. This is both more efficient as we avoid an extra up/down cycle and more meaningful as we will back up and restore an actually used system.

A bit hard to measure directly as this also moves the initial docker compose up -w into the test suite but a random run without this patch took about 10m 49s to finish for the testing part whereas with the patch it came down to 9m 10s so almost 2 minutes faster!

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 99.45%. Comparing base (c075cf5) to head (e404036).
Report is 1 commits behind head on master.

✅ All tests successful. No failed tests found.

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #3537   +/-   ##
=======================================
  Coverage   99.45%   99.45%           
=======================================
  Files           3        3           
  Lines         184      184           
=======================================
  Hits          183      183           
  Misses          1        1           

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