ref(browser): Use debug instead of logger

[AbhiPrasad]

resolves #16952
resolves #16951

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	23.78 kB	-0.36%	-85 B 🔽
@sentry/browser - with treeshaking flags	22.34 kB	-	-
@sentry/browser (incl. Tracing)	39.66 kB	-0.18%	-69 B 🔽
@sentry/browser (incl. Tracing, Replay)	77.79 kB	-0.08%	-58 B 🔽
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	67.59 kB	-	-
@sentry/browser (incl. Tracing, Replay with Canvas)	82.49 kB	-0.08%	-66 B 🔽
@sentry/browser (incl. Tracing, Replay, Feedback)	94.59 kB	-0.06%	-56 B 🔽
@sentry/browser (incl. Feedback)	40.47 kB	-0.21%	-82 B 🔽
@sentry/browser (incl. sendFeedback)	28.46 kB	-0.31%	-86 B 🔽
@sentry/browser (incl. FeedbackAsync)	33.36 kB	-0.24%	-78 B 🔽
@sentry/react	25.54 kB	-0.19%	-47 B 🔽
@sentry/react (incl. Tracing)	41.62 kB	-0.17%	-67 B 🔽
@sentry/vue	28.23 kB	-0.21%	-57 B 🔽
@sentry/vue (incl. Tracing)	41.45 kB	-0.15%	-62 B 🔽
@sentry/svelte	23.81 kB	-0.35%	-82 B 🔽
CDN Bundle	25.18 kB	-	-
CDN Bundle (incl. Tracing)	39.42 kB	-	-
CDN Bundle (incl. Tracing, Replay)	75.42 kB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback)	80.89 kB	-	-
CDN Bundle - uncompressed	73.44 kB	-	-
CDN Bundle (incl. Tracing) - uncompressed	116.86 kB	-	-
CDN Bundle (incl. Tracing, Replay) - uncompressed	231 kB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	243.81 kB	-	-
@sentry/nextjs (client)	43.69 kB	-0.02%	-7 B 🔽
@sentry/sveltekit (client)	40.08 kB	-0.23%	-90 B 🔽
@sentry/node	167.92 kB	-	-
@sentry/node - without tracing	100.32 kB	-	-
@sentry/aws-serverless	128.46 kB	-	-

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