feat(v8/core): Remove deprecated updateWithContext method

[AbhiPrasad]

ref #10677

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser (incl. Tracing, Replay, Feedback) - Webpack (gzipped)	77.2 KB (-0.4% 🔽)
@sentry/browser (incl. Tracing, Replay) - Webpack (gzipped)	68.47 KB (-0.46% 🔽)
@sentry/browser (incl. Tracing, Replay with Canvas) - Webpack (gzipped)	72.38 KB (-0.46% 🔽)
@sentry/browser (incl. Tracing, Replay) - Webpack with treeshaking flags (gzipped)	61.98 KB (-0.52% 🔽)
@sentry/browser (incl. Tracing) - Webpack (gzipped)	32.66 KB (-1.04% 🔽)
@sentry/browser (incl. browserTracingIntegration) - Webpack (gzipped)	32.66 KB (-0.72% 🔽)
@sentry/browser (incl. Feedback) - Webpack (gzipped)	30.91 KB (0%)
@sentry/browser (incl. sendFeedback) - Webpack (gzipped)	30.91 KB (0%)
@sentry/browser - Webpack (gzipped)	22.19 KB (0%)
@sentry/browser (incl. Tracing, Replay, Feedback) - ES6 CDN Bundle (gzipped)	75.68 KB (-0.42% 🔽)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (gzipped)	67.42 KB (-0.16% 🔽)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (gzipped)	33.22 KB (-0.7% 🔽)
@sentry/browser - ES6 CDN Bundle (gzipped)	24.72 KB (+0.02% 🔺)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (minified & uncompressed)	210.93 KB (-0.57% 🔽)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (minified & uncompressed)	99.65 KB (-1.2% 🔽)
@sentry/browser - ES6 CDN Bundle (minified & uncompressed)	73.78 KB (-0.22% 🔽)
@sentry/browser (incl. Tracing) - ES5 CDN Bundle (gzipped)	36.28 KB (-1.27% 🔽)
@sentry/react (incl. Tracing, Replay) - Webpack (gzipped)	68.74 KB (-0.51% 🔽)
@sentry/react - Webpack (gzipped)	22.22 KB (0%)
@sentry/nextjs Client (incl. Tracing, Replay) - Webpack (gzipped)	85.21 KB (-1.57% 🔽)
@sentry/nextjs Client - Webpack (gzipped)	49.58 KB (-0.46% 🔽)
@sentry-internal/feedback - Webpack (gzipped)	17.14 KB (0%)