fix(twp): Trace propagation in HTTP tracing clients

[buenaflor]

📜 Description

💡 Motivation and Context

💚 How did you test it?

📝 Checklist

• I reviewed submitted code
• I added tests to verify changes
• No new PII added or SDK only sends newly added PII if sendDefaultPii is enabled
• I updated the docs if needed
• All tests passing
• No breaking changes

🔮 Next steps

[codecov]

Codecov Report

Attention: Patch coverage is 96.42857% with 1 line in your changes missing coverage. Please review.

Project coverage is 87.67%. Comparing base (213fb39) to head (8581ed9).

Files with missing lines	Patch %	Lines
dart/lib/src/http_client/tracing_client.dart	85.71%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2850      +/-   ##
==========================================
+ Coverage   87.61%   87.67%   +0.06%     
==========================================
  Files         270      271       +1     
  Lines        9032     9021      -11     
==========================================
- Hits         7913     7909       -4     
+ Misses       1119     1112       -7     

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[github-actions]

iOS Performance metrics 🚀

	Plain	With Sentry	Diff
Startup time	1255.21 ms	1259.44 ms	4.23 ms
Size	8.43 MiB	10.01 MiB	1.58 MiB

Baseline results on branch: main

Startup times

Revision	Plain	With Sentry	Diff
e2d89fc	1251.80 ms	1261.92 ms	10.11 ms
ed605cc	1246.06 ms	1262.04 ms	15.98 ms
c57d3b7	1249.92 ms	1280.31 ms	30.39 ms
ea1d45d	1234.96 ms	1250.27 ms	15.31 ms
c328ffc	1236.73 ms	1260.73 ms	24.00 ms
6fedcab	1242.33 ms	1269.66 ms	27.33 ms
3500574	1263.02 ms	1263.73 ms	0.71 ms
95c69e3	1223.94 ms	1245.29 ms	21.35 ms
ec4c9da	1228.33 ms	1261.63 ms	33.31 ms
00236a7	1250.06 ms	1274.00 ms	23.94 ms

App size

Revision	Plain	With Sentry	Diff
e2d89fc	8.10 MiB	9.16 MiB	1.06 MiB
ed605cc	8.10 MiB	9.17 MiB	1.08 MiB
c57d3b7	8.32 MiB	9.52 MiB	1.20 MiB
ea1d45d	8.42 MiB	9.97 MiB	1.54 MiB
c328ffc	8.34 MiB	9.67 MiB	1.33 MiB
6fedcab	8.32 MiB	9.50 MiB	1.18 MiB
3500574	8.29 MiB	9.38 MiB	1.09 MiB
95c69e3	8.33 MiB	9.64 MiB	1.31 MiB
ec4c9da	8.38 MiB	9.71 MiB	1.34 MiB
00236a7	8.38 MiB	9.77 MiB	1.39 MiB

Previous results on branch: fix/twp-http-clients

Startup times

Revision	Plain	With Sentry	Diff
7f8089d	1239.84 ms	1256.84 ms	17.00 ms
e736ce0	1269.02 ms	1272.84 ms	3.82 ms
3f6b431	1246.96 ms	1260.83 ms	13.87 ms
b2be39c	1249.76 ms	1262.38 ms	12.62 ms

App size

Revision	Plain	With Sentry	Diff
7f8089d	8.43 MiB	10.00 MiB	1.57 MiB
e736ce0	8.43 MiB	10.00 MiB	1.57 MiB
3f6b431	8.43 MiB	9.99 MiB	1.56 MiB
b2be39c	8.43 MiB	10.00 MiB	1.57 MiB

[github-actions]

Android Performance metrics 🚀

	Plain	With Sentry	Diff
Startup time	443.22 ms	512.04 ms	68.82 ms
Size	6.44 MiB	7.43 MiB	1010.28 KiB

Baseline results on branch: main

Startup times

Revision	Plain	With Sentry	Diff
d61cecf	339.69 ms	387.57 ms	47.88 ms
a609134	350.12 ms	404.12 ms	54.00 ms
6491ebd	301.74 ms	351.96 ms	50.22 ms
d0312c9	354.78 ms	411.53 ms	56.75 ms
c73ab67	353.82 ms	408.71 ms	54.90 ms
1bbb79f	453.04 ms	490.74 ms	37.70 ms
294b7f0	367.83 ms	430.00 ms	62.17 ms
7b34d99	441.92 ms	481.40 ms	39.48 ms
21845e2	345.08 ms	382.82 ms	37.74 ms
be1723a	453.86 ms	493.64 ms	39.78 ms

App size

Revision	Plain	With Sentry	Diff
d61cecf	6.06 MiB	7.03 MiB	995.56 KiB
a609134	5.94 MiB	6.95 MiB	1.01 MiB
6491ebd	6.15 MiB	7.13 MiB	999.96 KiB
d0312c9	6.33 MiB	7.26 MiB	949.76 KiB
c73ab67	6.15 MiB	7.13 MiB	999.97 KiB
1bbb79f	6.49 MiB	7.57 MiB	1.08 MiB
294b7f0	6.33 MiB	7.26 MiB	950.21 KiB
7b34d99	6.44 MiB	7.50 MiB	1.06 MiB
21845e2	5.94 MiB	6.92 MiB	1003.77 KiB
be1723a	6.49 MiB	7.56 MiB	1.07 MiB

Previous results on branch: fix/twp-http-clients

Startup times

Revision	Plain	With Sentry	Diff
e736ce0	458.32 ms	585.06 ms	126.74 ms
3f6b431	470.36 ms	534.40 ms	64.04 ms
b2be39c	449.96 ms	510.69 ms	60.73 ms

App size

Revision	Plain	With Sentry	Diff
e736ce0	6.44 MiB	7.43 MiB	1010.27 KiB
3f6b431	6.44 MiB	7.43 MiB	1007.37 KiB
b2be39c	6.44 MiB	7.43 MiB	1010.28 KiB

[denrase]

Just one small suggestion.