Mark SentryClient(SentryOptions) constructor as not internal

[lcian]

📜 Description

We document here to use this constructor, but it's marked as internal.
This removes the internal annotation.

💡 Motivation and Context

Close #4780
Close JAVA-196

[linear]

JAVA-196 SentryClient constructor is marked as internal

[github-actions]

Performance metrics 🚀

	Plain	With Sentry	Diff
Startup time	388.88 ms	461.10 ms	72.22 ms
Size	1.58 MiB	2.11 MiB	538.88 KiB

Baseline results on branch: main

Startup times

Revision	Plain	With Sentry	Diff
d217708	411.22 ms	430.86 ms	19.63 ms
7314dbe	437.83 ms	505.64 ms	67.81 ms
14ff5ee	419.75 ms	495.73 ms	75.98 ms
b3d8889	371.84 ms	447.49 ms	75.65 ms
b750b96	421.25 ms	444.09 ms	22.84 ms
c8125f3	397.65 ms	485.14 ms	87.49 ms
3998a95	415.94 ms	478.54 ms	62.60 ms
ee747ae	386.94 ms	431.43 ms	44.49 ms
d217708	355.34 ms	381.39 ms	26.05 ms
3699cd5	423.60 ms	495.52 ms	71.92 ms

App size

Revision	Plain	With Sentry	Diff
d217708	1.58 MiB	2.10 MiB	532.97 KiB
7314dbe	1.58 MiB	2.10 MiB	533.45 KiB
14ff5ee	1.58 MiB	2.10 MiB	535.08 KiB
b3d8889	1.58 MiB	2.10 MiB	535.07 KiB
b750b96	1.58 MiB	2.10 MiB	533.20 KiB
c8125f3	1.58 MiB	2.10 MiB	532.32 KiB
3998a95	1.58 MiB	2.10 MiB	532.96 KiB
ee747ae	1.58 MiB	2.10 MiB	530.95 KiB
d217708	1.58 MiB	2.10 MiB	532.97 KiB
3699cd5	1.58 MiB	2.10 MiB	533.45 KiB