fix(browser): Ensure logs are flushed when sendClientReports=false

[mydea]

This was tied together and could theoretically result in logs not being flushed correctly, when users opt-out of client reports.

Noticed this while scanning over the browser client code :)

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	23.95 kB	+0.02%	+4 B 🔺
@sentry/browser - with treeshaking flags	23.72 kB	+0.03%	+7 B 🔺
@sentry/browser (incl. Tracing)	38.27 kB	+0.03%	+9 B 🔺
@sentry/browser (incl. Tracing, Replay)	76.39 kB	+0.02%	+9 B 🔺
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	69.5 kB	+0.02%	+8 B 🔺
@sentry/browser (incl. Tracing, Replay with Canvas)	81.17 kB	+0.02%	+9 B 🔺
@sentry/browser (incl. Tracing, Replay, Feedback)	93.26 kB	+0.01%	+8 B 🔺
@sentry/browser (incl. Feedback)	40.72 kB	+0.02%	+6 B 🔺
@sentry/browser (incl. sendFeedback)	28.68 kB	+0.04%	+9 B 🔺
@sentry/browser (incl. FeedbackAsync)	33.57 kB	+0.03%	+7 B 🔺
@sentry/react	25.73 kB	+0.02%	+5 B 🔺
@sentry/react (incl. Tracing)	40.25 kB	+0.02%	+8 B 🔺
@sentry/vue	28.35 kB	+0.03%	+7 B 🔺
@sentry/vue (incl. Tracing)	40.1 kB	+0.03%	+9 B 🔺
@sentry/svelte	23.98 kB	+0.03%	+7 B 🔺
CDN Bundle	25.25 kB	+0.05%	+11 B 🔺
CDN Bundle (incl. Tracing)	38.39 kB	+0.05%	+16 B 🔺
CDN Bundle (incl. Tracing, Replay)	74.25 kB	+0.03%	+20 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback)	79.67 kB	+0.02%	+11 B 🔺
CDN Bundle - uncompressed	73.67 kB	+0.05%	+35 B 🔺
CDN Bundle (incl. Tracing) - uncompressed	113.69 kB	+0.04%	+35 B 🔺
CDN Bundle (incl. Tracing, Replay) - uncompressed	227.66 kB	+0.02%	+35 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	240.49 kB	+0.02%	+35 B 🔺
@sentry/nextjs (client)	41.91 kB	+0.02%	+7 B 🔺
@sentry/sveltekit (client)	38.75 kB	+0.03%	+11 B 🔺
@sentry/node	149.47 kB	-	-
@sentry/node - without tracing	98.1 kB	-	-
@sentry/aws-serverless	123.43 kB	-	-

View base workflow run

[AbhiPrasad]

good catch!