Also instrument the postgres connection builder #386

Job	Run time
Check Minimal supported rust version (1.78.0)	46s
Check rustfmt style && run clippy	20s
Check (stable, postgres, macos-13)	4m 19s
Check (stable, postgres, windows-latest)	19m 45s
Check (stable, postgres, ubuntu-latest)	1m 50s
Check (stable, mysql, macos-13)	5m 11s
Check (stable, mysql, macos-15)	2m 43s
Check (stable, mysql, ubuntu-latest)	3m 21s
Check (stable, mysql, windows-latest)	9m 42s
Check (stable, sqlite, macos-15)	1m 23s
Check (stable, sqlite, windows-latest)	4m 36s
Check (beta, postgres, ubuntu-latest)	1m 57s
Check (nightly, mysql, ubuntu-latest)	3m 10s
Check (beta, sqlite, ubuntu-latest)	1m 10s
Check (beta, mysql, ubuntu-latest)	3m 25s
Check (stable, postgres, macos-15)	1m 3s
Check (stable, mysql, ubuntu-22.04-arm)	4m 18s
Check (stable, sqlite, ubuntu-latest)	1m 4s
Check (stable, sqlite, ubuntu-22.04-arm)	1m 44s
Check (stable, postgres, ubuntu-22.04-arm)	3m 24s
Check (nightly, postgres, ubuntu-latest)	58s
Check (stable, sqlite, macos-13)	1m 49s
Check (nightly, sqlite, ubuntu-latest)	1m 7s
	1h 19m 5s

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