fix(browser): Remove browserPerformanceTimeOrigin side-effects

[timfish]

Due to the side-effect, browserPerformanceTimeOrigin ends up in the non-tracing browser bundle.

This change ensures that the code is only included when tracing is in use at a slight cost to the tracing bundles.

[github-actions]

size-limit report 📦

⚠️ Warning: Base artifact is not the latest one, because the latest workflow run is not done yet. This may lead to incorrect results. Try to re-run all tests to get up to date results.

Path	Size	% Change	Change
@sentry/browser	23.16 KB	-0.54%	-128 B 🔽
@sentry/browser - with treeshaking flags	21.84 KB	-0.54%	-120 B 🔽
@sentry/browser (incl. Tracing)	35.81 KB	+0.05%	+18 B 🔺
@sentry/browser (incl. Tracing, Replay)	73.05 KB	+0.03%	+21 B 🔺
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	63.43 KB	+0.03%	+18 B 🔺
@sentry/browser (incl. Tracing, Replay with Canvas)	77.47 KB	+0.03%	+21 B 🔺
@sentry/browser (incl. Tracing, Replay, Feedback)	89.85 KB	+0.02%	+15 B 🔺
@sentry/browser (incl. Feedback)	39.92 KB	-0.3%	-121 B 🔽
@sentry/browser (incl. sendFeedback)	27.78 KB	-0.42%	-119 B 🔽
@sentry/browser (incl. FeedbackAsync)	32.55 KB	-0.41%	-134 B 🔽
@sentry/react	25.85 KB	-0.44%	-115 B 🔽
@sentry/react (incl. Tracing)	38.62 KB	+0.05%	+19 B 🔺
@sentry/vue	27.37 KB	-0.44%	-122 B 🔽
@sentry/vue (incl. Tracing)	37.65 KB	+0.06%	+23 B 🔺
@sentry/svelte	23.33 KB	-0.53%	-127 B 🔽
CDN Bundle	24.34 KB	-0.37%	-92 B 🔽
CDN Bundle (incl. Tracing)	37.51 KB	+0.16%	+59 B 🔺
CDN Bundle (incl. Tracing, Replay)	72.58 KB	+0.05%	+37 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback)	77.95 KB	+0.03%	+17 B 🔺
CDN Bundle - uncompressed	71.5 KB	-0.34%	-244 B 🔽
CDN Bundle (incl. Tracing) - uncompressed	111.2 KB	+0.14%	+159 B 🔺
CDN Bundle (incl. Tracing, Replay) - uncompressed	225.25 KB	+0.07%	+161 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	238.47 KB	+0.07%	+161 B 🔺
@sentry/nextjs (client)	38.89 KB	+0.06%	+21 B 🔺
@sentry/sveltekit (client)	36.31 KB	+0.06%	+20 B 🔺
@sentry/node	162.65 KB	-0.07%	-110 B 🔽
@sentry/node - without tracing	98.77 KB	-0.13%	-124 B 🔽
@sentry/aws-serverless	126.51 KB	-0.1%	-121 B 🔽

View base workflow run

[timfish]

@mydea or @billyvg do you know why my changes could be causing this Replay test failure with an incorrect segmentId?
https://github.com/getsentry/sentry-javascript/actions/runs/12156896052/job/33901817087?pr=14025#step:6:426

[timfish]

@lforst since this is now a breaking change, can I rebase this PR on top of the v9 branch?

[lforst]

@lforst since this is now a breaking change, can I rebase this PR on top of the v9 branch?

We already cut the v8 branch so the branch to target with breaking changes is now develop.