feat(logs): Add Log exports to browser and node packages

[chargome]

closes https://linear.app/getsentry/issue/FE-680/qq-from-discord

[linear]

FE-680 QQ from discord: [https://discord.com/channels/621778831602221064/1461115303596523733/14611153035...

[github-actions]

node-overhead report 🧳

Note: This is a synthetic benchmark with a minimal express app and does not necessarily reflect the real-world performance impact in an application.

Scenario	Requests/s	% of Baseline	Prev. Requests/s	Change %
GET Baseline	8,551	-	9,517	-10%
GET With Sentry	1,599	19%	1,769	-10%
GET With Sentry (error only)	5,891	69%	6,054	-3%
POST Baseline	1,161	-	1,195	-3%
POST With Sentry	565	49%	579	-2%
POST With Sentry (error only)	1,054	91%	1,068	-1%
MYSQL Baseline	3,401	-	3,359	+1%
MYSQL With Sentry	422	12%	450	-6%
MYSQL With Sentry (error only)	2,679	79%	2,718	-1%

View base workflow run