[Fix] Restart feature

[skim0119]

Changes

• Add ring-rod test on restart scripts.
• Damping moodule now takes separate operator group.
• Minor edit on type-hinting around damping and restart.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 95.34%. Comparing base (977b2c7) to head (a6c6d75).
⚠️ Report is 71 commits behind head on update-0.3.3.

Additional details and impacted files

@@               Coverage Diff                @@
##           update-0.3.3     #495      +/-   ##
================================================
+ Coverage         94.35%   95.34%   +0.99%     
================================================
  Files                51       49       -2     
  Lines              3224     3073     -151     
  Branches            329      300      -29     
================================================
- Hits               3042     2930     -112     
+ Misses              136      102      -34     
+ Partials             46       41       -5     

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