fix(sync-service): Properly handle File.Errors

[magnetised]

And make sure that other generic exceptions don't cause problems either.

Seen in production during stack restarts:
https://ui.honeycomb.io/electric-sql-06/environments/production/result/boxnGdBAn2m?expd_col=_hny.ts&expd_fwd=false&expd_id=HM9kS5fdfv9&expd_page=25&tab=explore

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 77.08%. Comparing base (5d81b6f) to head (c6e453e).
⚠️ Report is 5 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #3180      +/-   ##
==========================================
+ Coverage   77.01%   77.08%   +0.07%     
==========================================
  Files         175      175              
  Lines        9253     9253              
  Branches      296      295       -1     
==========================================
+ Hits         7126     7133       +7     
+ Misses       2125     2118       -7     
  Partials        2        2              

Flag	Coverage Δ
elixir	75.77% <100.00%> (+0.08%)	⬆️
elixir-client	74.40% <ø> (+0.53%)	⬆️
packages/experimental	87.73% <ø> (ø)
packages/react-hooks	86.48% <ø> (ø)
packages/typescript-client	93.49% <ø> (ø)
packages/y-electric	55.12% <ø> (ø)
postgres-140000	75.76% <100.00%> (?)
postgres-150000	75.85% <100.00%> (-0.03%)	⬇️
postgres-170000	75.89% <100.00%> (?)
sync-service	75.91% <100.00%> (+0.04%)	⬆️
typescript	85.79% <ø> (ø)
unit-tests	77.08% <100.00%> (+0.07%)	⬆️

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