chore(e2e): Expand websockets E2E application with auto-tracing tests

[nicohrubec]

Closes #19646

[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	8,689	-	8,720	-0%
GET With Sentry	1,615	19%	1,590	+2%
GET With Sentry (error only)	5,957	69%	5,921	+1%
POST Baseline	1,015	-	1,169	-13%
POST With Sentry	559	55%	557	+0%
POST With Sentry (error only)	1,028	101%	1,031	-0%
MYSQL Baseline	3,163	-	3,222	-2%
MYSQL With Sentry	352	11%	363	-3%
MYSQL With Sentry (error only)	2,580	82%	2,641	-2%

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