fix(profiling): Re-init continuous profiler

[Zylphrex]

Re-initializing the continuous profiler should use new settings.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 84.64%. Comparing base (57a3405) to head (4ea8286).
⚠️ Report is 40 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #4772      +/-   ##
==========================================
- Coverage   84.85%   84.64%   -0.22%     
==========================================
  Files         156      158       +2     
  Lines       16110    16382     +272     
  Branches     2740     2811      +71     
==========================================
+ Hits        13670    13866     +196     
- Misses       1651     1692      +41     
- Partials      789      824      +35     

Files with missing lines	Coverage Δ
sentry_sdk/profiler/continuous_profiler.py	91.05% <100.00%> (+0.50%)	⬆️

... and 17 files with indirect coverage changes

[antonpirker]

looks good!