Format protected and public paths with site prefix #2179

Job	Run time
windows_test	2m 24s
test (mssql, mssql, mssql://root:Password123!@127.0.0.1/sqlpage)	1m 38s
docker_build (linux/amd64, duckdb)	1m 51s
docker_build (linux/arm64, minimal)	2m 5s
compile_and_lint	2m 19s
test (oracle, oracle, Driver=Oracle 21 ODBC driver;Dbq=//127.0.0.1:1521/FREEPDB1;Uid=root;Pwd=Pas...	1m 47s
docker_build (linux/amd64, minimal)	1m 46s
test (postgres, postgres, postgres://root:Password123!@127.0.0.1/sqlpage)	1m 33s
test (mysql, mysql, mysql://root:Password123!@127.0.0.1/sqlpage)	1m 38s
docker_build (linux/arm/v7, minimal)	2m 9s
test (odbc, postgres, Driver=PostgreSQL Unicode;Server=127.0.0.1;Port=5432;Database=sqlpage;UID=r...	1m 48s
docker_build (linux/arm64, duckdb)	2m 12s
docker_push	-1s
	23m 9s

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