feat(browser): Disable client when browser extension is detected

[mydea]

Similar to #16353, this changes how default options for BrowserClient are handled. Instead of building this in init, we now do (some) of it in BrowserClient.

Additionally, this also adjusts what we do if we detect a browser extension: Instead of skipping the setup, we now just disable the client. This streamlines this a bit and also ensures that we actually always return a Client from init.

It also fixes the type for BrowserOption to actually allow to configure cdnBaseUrl, which was actually only set for the ClientOptions, oops.

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	23.93 kB	-0.12%	-27 B 🔽
@sentry/browser - with treeshaking flags	23.69 kB	-0.13%	-29 B 🔽
@sentry/browser (incl. Tracing)	38.23 kB	-0.12%	-44 B 🔽
@sentry/browser (incl. Tracing, Replay)	76.36 kB	-0.05%	-36 B 🔽
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	69.45 kB	-0.07%	-46 B 🔽
@sentry/browser (incl. Tracing, Replay with Canvas)	81.11 kB	-0.07%	-55 B 🔽
@sentry/browser (incl. Tracing, Replay, Feedback)	93.19 kB	-0.08%	-67 B 🔽
@sentry/browser (incl. Feedback)	40.67 kB	-0.13%	-52 B 🔽
@sentry/browser (incl. sendFeedback)	28.64 kB	-0.16%	-45 B 🔽
@sentry/browser (incl. FeedbackAsync)	33.52 kB	-0.14%	-45 B 🔽
@sentry/react	25.71 kB	-0.11%	-26 B 🔽
@sentry/react (incl. Tracing)	40.23 kB	-0.06%	-24 B 🔽
@sentry/vue	28.26 kB	-0.34%	-96 B 🔽
@sentry/vue (incl. Tracing)	40.05 kB	-0.13%	-50 B 🔽
@sentry/svelte	23.94 kB	-0.16%	-37 B 🔽
CDN Bundle	25.22 kB	-0.11%	-27 B 🔽
CDN Bundle (incl. Tracing)	38.35 kB	-0.1%	-38 B 🔽
CDN Bundle (incl. Tracing, Replay)	74.22 kB	-0.05%	-37 B 🔽
CDN Bundle (incl. Tracing, Replay, Feedback)	79.64 kB	-0.05%	-32 B 🔽
CDN Bundle - uncompressed	73.57 kB	-0.13%	-91 B 🔽
CDN Bundle (incl. Tracing) - uncompressed	113.6 kB	-0.09%	-91 B 🔽
CDN Bundle (incl. Tracing, Replay) - uncompressed	227.57 kB	-0.04%	-91 B 🔽
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	240.4 kB	-0.04%	-91 B 🔽
@sentry/nextjs (client)	41.9 kB	-0.03%	-9 B 🔽
@sentry/sveltekit (client)	38.73 kB	-0.06%	-20 B 🔽
@sentry/node	149.51 kB	+0.01%	+1 B 🔺
@sentry/node - without tracing	98.12 kB	+0.01%	+1 B 🔺
@sentry/aws-serverless	123.46 kB	-	-

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