ref(typescript): Remove dom types from main tsconfig

[AbhiPrasad]

Remove dom types from packages/typescript/tsconfig.json and add it to the respective packages that need them.

This is important because we should only be adding dom types to packages that will be used in the browser.

unblocks #12733

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser	22.31 KB (0%)
@sentry/browser (incl. Tracing)	33.45 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay)	69.2 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	62.53 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay with Canvas)	73.27 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay, Feedback)	85.9 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay, Feedback, metrics)	87.76 KB (+0.01% 🔺)
@sentry/browser (incl. metrics)	26.59 KB (-0.01% 🔽)
@sentry/browser (incl. Feedback)	38.98 KB (0%)
@sentry/browser (incl. sendFeedback)	26.92 KB (-0.01% 🔽)
@sentry/browser (incl. FeedbackAsync)	31.54 KB (0%)
@sentry/react	25.05 KB (0%)
@sentry/react (incl. Tracing)	36.49 KB (0%)
@sentry/vue	26.41 KB (0%)
@sentry/vue (incl. Tracing)	35.31 KB (+0.01% 🔺)
@sentry/svelte	22.44 KB (-0.01% 🔽)
CDN Bundle	23.52 KB (0%)
CDN Bundle (incl. Tracing)	35.21 KB (0%)
CDN Bundle (incl. Tracing, Replay)	69.31 KB (0%)
CDN Bundle (incl. Tracing, Replay, Feedback)	74.51 KB (+0.01% 🔺)
CDN Bundle - uncompressed	69.02 KB (0%)
CDN Bundle (incl. Tracing) - uncompressed	104.04 KB (0%)
CDN Bundle (incl. Tracing, Replay) - uncompressed	214.43 KB (0%)
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	227.15 KB (0%)
@sentry/nextjs (client)	36.37 KB (0%)
@sentry/sveltekit (client)	34.1 KB (+0.01% 🔺)
@sentry/node	130.81 KB (+0.01% 🔺)
@sentry/node - without tracing	91.89 KB (+0.02% 🔺)
@sentry/aws-serverless	117.06 KB (+0.01% 🔺)