fix(js): Fix LLM instruction docs

[mydea]

This fixes some content that was added in #13752:

1. Moves logs down below tracing, as that is IMHO more important (and stable - logs is still experimental 😬 ) (should not affect LLMs too much, but for consistency sake with other things...)
2. Remove the line about adding the logger integration, which does not exist
3. Fix the tracing snippets to be better - what we recommended there was actually not what we would want users to do.

[vercel]

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Name	Status	Preview	Comments	Updated (UTC)
sentry-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	May 21, 2025 3:16pm

2 Skipped Deployments

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[codecov]

Bundle Report

Changes will decrease total bundle size by 15 bytes (-0.0%) ⬇️. This is within the configured threshold ✅

Detailed changes

Bundle name	Size	Change
sentry-docs-server-cjs	11.2MB	-9 bytes (-0.0%) ⬇️
sentry-docs-client-array-push	9.51MB	-6 bytes (-0.0%) ⬇️

Affected Assets, Files, and Routes:

view changes for bundle: sentry-docs-server-cjs

Assets Changed:

Asset Name	Size Change	Total Size	Change (%)
1729.js	-3 bytes	1.75MB	-0.0%
../instrumentation.js	-3 bytes	1.08MB	-0.0%
9523.js	-3 bytes	1.05MB	-0.0%

view changes for bundle: sentry-docs-client-array-push

Assets Changed:

Asset Name	Size Change	Total Size	Change (%)
static/chunks/pages/_app-*.js	-3 bytes	868.7kB	-0.0%
static/chunks/8165-*.js	-3 bytes	410.1kB	-0.0%
server/middleware-*.js	-5.55kB	1.0kB	-84.74%
server/middleware-*.js	5.55kB	6.55kB	555.3% ⚠️
static/xWJ2eYs0Lh-*.js (New)	77 bytes	77 bytes	100.0% 🚀
static/xWJ2eYs0Lh-*.js (New)	578 bytes	578 bytes	100.0% 🚀
static/HodQji4Q2RX769hpG5d_-*.js (Deleted)	-77 bytes	0 bytes	-100.0% 🗑️
static/HodQji4Q2RX769hpG5d_-*.js (Deleted)	-578 bytes	0 bytes	-100.0% 🗑️

[mydea]

@codyde good point, I added this entry to the logs section everywhere:

• Enable logging in Sentry using Sentry.init({ _experiments: { enableLogs: true } })

[codyde]

Looks good!