[E2E] Launch private registry with init

[dereknola]

Proposed Changes

• Launch the private registry container with --init so if it becomes a zombie, the container can be killed on cleanup.

Types of Changes

Verification

Testing

Linked Issues

#10821

User-Facing Change

Further Comments

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 43.90%. Comparing base (254c16f) to head (1924584).
Report is 5 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master   #10822      +/-   ##
==========================================
- Coverage   50.03%   43.90%   -6.14%     
==========================================
  Files         178      178              
  Lines       14753    14753              
==========================================
- Hits         7382     6477     -905     
- Misses       6032     7089    +1057     
+ Partials     1339     1187     -152     

Flag	Coverage Δ
e2etests	36.22% <ø> (-10.02%)	⬇️
inttests	36.80% <ø> (+0.01%)	⬆️
unittests	13.59% <ø> (ø)

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