Also instrument the postgres connection builder #384

Job	Run time
Check Minimal supported rust version (1.78.0)	45s
Check rustfmt style && run clippy	1m 11s
Check (stable, postgres, ubuntu-latest)	2m 16s
Check (stable, postgres, macos-13)	2m 47s
Check (stable, postgres, macos-15)	1m 57s
Check (stable, postgres, ubuntu-22.04-arm)	2m 45s
Check (stable, postgres, windows-latest)	2m 43s
Check (stable, mysql, windows-latest)	2m 33s
Check (stable, mysql, macos-15)	1m 14s
Check (stable, sqlite, ubuntu-22.04-arm)	1m 7s
Check (stable, mysql, macos-13)	2m 48s
Check (stable, sqlite, ubuntu-latest)	57s
Check (stable, mysql, ubuntu-22.04-arm)	1m 18s
Check (stable, sqlite, macos-15)	33s
Check (beta, sqlite, ubuntu-latest)	39s
Check (stable, sqlite, macos-13)	1m 14s
Check (beta, mysql, ubuntu-latest)	1m 7s
Check (beta, postgres, ubuntu-latest)	2m 3s
Check (stable, sqlite, windows-latest)	2m 30s
Check (stable, mysql, ubuntu-latest)	59s
Check (nightly, postgres, ubuntu-latest)	2m 2s
Check (nightly, mysql, ubuntu-latest)	59s
Check (nightly, sqlite, ubuntu-latest)	39s
	37m 6s

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