refactor: remove profile integration timestamp #11552

Job	Run time
Check Source Changed	5s
Check license of dependencies	4s
Spell check	8s
Pnpm Lockfile Check	22s
Run benchmark	0s
Run Ecosystem CI	0s
Get Runner Labels / Get Runner Labels	1s
Test Release Linux	0s
Test Release Windows	0s
Test Release Mac	0s
Lint and format code	36s
Lint and format website	48s
Rust Changes	5s
Test Mac	0s
Test Linux / Build	4m 17s
Test Windows / Build	5m 1s
Rust test	3m 56s
Check Rust Unused Dependencies	29s
Rust check	3m 28s
Test Linux / Test Node 18	4m 1s
Test Linux / E2E Testing	1m 18s
Test Windows / Test Node 18	6m 31s
Test Windows / E2E Testing	0s
Failure Notification	0s
	31m 10s

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