Add start_type to app context

[markushi]

📜 Description

Fixes #3178

💡 Motivation and Context

💚 How did you test it?

📝 Checklist

• I reviewed the submitted code.
• I added tests to verify the changes.
• No new PII added or SDK only sends newly added PII if sendDefaultPII is enabled.
• I updated the docs if needed.
• Review from the native team if needed.
• No breaking change or entry added to the changelog.
• No breaking change for hybrid SDKs or communicated to hybrid SDKs.

🔮 Next steps

[github-actions]

	Messages
📖	Do not forget to update Sentry-docs with your feature once the pull request gets approved.

Generated by 🚫 dangerJS against 31a106c

[github-actions]

Performance metrics 🚀

	Plain	With Sentry	Diff
Startup time	522.44 ms	618.12 ms	95.68 ms
Size	1.70 MiB	2.28 MiB	592.36 KiB

Baseline results on branch: main

Startup times

Revision	Plain	With Sentry	Diff
4e260b3	378.73 ms	454.18 ms	75.45 ms
4bf95dd	345.96 ms	414.24 ms	68.28 ms
0bd723b	395.44 ms	472.66 ms	77.22 ms
7275aa8	422.39 ms	456.94 ms	34.55 ms
baaf637	375.71 ms	441.58 ms	65.87 ms
7eccfdb	366.98 ms	440.27 ms	73.29 ms
937879e	417.64 ms	550.45 ms	132.81 ms
9119d59	407.12 ms	509.64 ms	102.52 ms
93a76ca	378.48 ms	451.78 ms	73.30 ms
93a76ca	377.96 ms	447.52 ms	69.56 ms

App size

Revision	Plain	With Sentry	Diff
4e260b3	1.72 MiB	2.27 MiB	554.95 KiB
4bf95dd	1.72 MiB	2.29 MiB	576.40 KiB
0bd723b	1.72 MiB	2.29 MiB	578.09 KiB
7275aa8	1.70 MiB	2.28 MiB	590.71 KiB
baaf637	1.72 MiB	2.27 MiB	558.42 KiB
7eccfdb	1.72 MiB	2.27 MiB	556.93 KiB
937879e	1.72 MiB	2.27 MiB	558.42 KiB
9119d59	1.70 MiB	2.27 MiB	583.84 KiB
93a76ca	1.72 MiB	2.29 MiB	576.75 KiB
93a76ca	1.72 MiB	2.29 MiB	576.75 KiB

Previous results on branch: feat/app-context-start-type

Startup times

Revision	Plain	With Sentry	Diff
a70554c	369.39 ms	438.65 ms	69.27 ms
5b9b5ac	375.58 ms	458.57 ms	82.99 ms
97da736	390.06 ms	465.79 ms	75.73 ms

App size

Revision	Plain	With Sentry	Diff
a70554c	1.70 MiB	2.28 MiB	592.36 KiB
5b9b5ac	1.70 MiB	2.28 MiB	592.36 KiB
97da736	1.70 MiB	2.28 MiB	592.27 KiB

[romtsn]

l: I know it should be set by the DefaultAndroidEventProcessor which is running before this one, but should we fall back to creating a new instance of App in case it's null?