chore: Moving Replay Integrations to HybridPublic

[brustolin]

This PR fixes access to SessionReplayIntegration from Hybrid SDK after #4440 #4486

#skip-changelog

[github-actions]

Performance metrics 🚀

	Plain	With Sentry	Diff
Startup time	1236.92 ms	1250.41 ms	13.49 ms
Size	22.30 KiB	750.03 KiB	727.72 KiB

Baseline results on branch: main

Startup times

Revision	Plain	With Sentry	Diff
8e4bc70	1229.18 ms	1240.86 ms	11.67 ms
fff4a70	1224.57 ms	1239.06 ms	14.49 ms
cf97209	1234.06 ms	1251.49 ms	17.43 ms
deeb22c	1233.90 ms	1250.19 ms	16.29 ms
62f06fc	1213.91 ms	1238.08 ms	24.17 ms
9fa5d27	1219.86 ms	1221.71 ms	1.85 ms
8c50edb	1212.98 ms	1233.72 ms	20.74 ms
4aea556	1222.94 ms	1248.02 ms	25.08 ms
ea73af6	1230.96 ms	1244.98 ms	14.02 ms
c1ca4cb	1228.71 ms	1246.23 ms	17.53 ms

App size

Revision	Plain	With Sentry	Diff
8e4bc70	21.58 KiB	625.90 KiB	604.32 KiB
fff4a70	21.58 KiB	707.28 KiB	685.70 KiB
cf97209	21.58 KiB	632.16 KiB	610.58 KiB
deeb22c	21.58 KiB	612.11 KiB	590.53 KiB
62f06fc	21.58 KiB	671.30 KiB	649.72 KiB
9fa5d27	20.76 KiB	393.37 KiB	372.61 KiB
8c50edb	20.76 KiB	432.31 KiB	411.55 KiB
4aea556	22.85 KiB	411.66 KiB	388.81 KiB
ea73af6	20.76 KiB	425.75 KiB	404.99 KiB
c1ca4cb	22.30 KiB	747.52 KiB	725.22 KiB

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 91.011%. Comparing base (cabe995) to head (958f303).
Report is 1 commits behind head on main.

Additional details and impacted files

@@              Coverage Diff              @@
##              main     #4588       +/-   ##
=============================================
+ Coverage   91.005%   91.011%   +0.005%     
=============================================
  Files          617       617               
  Lines        70877     70887       +10     
  Branches     25302     25296        -6     
=============================================
+ Hits         64502     64515       +13     
+ Misses        6282      6279        -3     
  Partials        93        93               

see 16 files with indirect coverage changes

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