feat(browser): Expose AI instrumentation methods

[RulaKhaled]

We are exposing AI instrument methods for Anthropic, Google GenAI, and OpenAI, enabling users to use it directly from browser sdk.

[linear]

JS-945 Expose AI integrations in browser SDK

[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	9,127	-	9,238	-1%
GET With Sentry	1,431	16%	1,441	-1%
GET With Sentry (error only)	6,304	69%	6,326	-0%
POST Baseline	1,215	-	1,214	+0%
POST With Sentry	518	43%	528	-2%
POST With Sentry (error only)	1,089	90%	1,077	+1%
MYSQL Baseline	3,369	-	3,430	-2%
MYSQL With Sentry	507	15%	508	-0%
MYSQL With Sentry (error only)	2,770	82%	2,782	-0%

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