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Share one path normalizer, home resolver and repository-root walk #339

Job	Run time
linux-bins	3m 40s
sbt 1.13.0 e2e_sbt_vendor_build / windows-latest	11m 25s
sbt 1.13.0 e2e_sbt_build / windows-latest	15m 25s
image	10m 57s
mill 0.11.13	1m 55s
scala-cli 1.17.1	2m 4s
mill 0.12.17	3m 19s
mill 1.1.10	2m 36s
sbt 1.2.8 / jdk 8 / agent	1m 50s
sbt 2.0.9 / jdk 21 / agent	1m 36s
sbt 1.9.9 / jdk 17 / vendored	4m 46s
sbt 1.13.0 / jdk 21 / hosted	7m 53s
sbt 2.0.9 / jdk 21 / hosted	9m 11s
sbt 2.0.9 / jdk 17 / agent	2m 20s
sbt 1.13.0 / jdk 21 / agent	2m 24s
sbt 1.3.13 / jdk 8 / agent	2m 0s
sbt 1.2.8 / jdk 8 / hosted	7m 27s
sbt 1.3.13 / jdk 8 / vendored	4m 48s
sbt 1.3.13 / jdk 8 / hosted	6m 31s
sbt 1.13.0 / jdk 21 / vendored	4m 48s
sbt 2.0.9 / jdk 17 / vendored	4m 50s
sbt 0.13.18 / jdk 8 / vendored	4m 15s
sbt 1.13.0 / jdk 17 / vendored	5m 0s
sbt 0.13.18 / jdk 8 / hosted	6m 37s
sbt 2.0.9 / jdk 17 / hosted	8m 23s
sbt 1.13.0 / jdk 17 / hosted	7m 31s
sbt 1.9.9 / jdk 17 / hosted	8m 3s
sbt 1.9.9 / jdk 17 / agent	2m 57s
sbt 1.13.0 / jdk 17 / agent	3m 8s
sbt 2.0.9 / jdk 21 / vendored	7m 25s
sbt 0.13.18 / jdk 8 / agent	1m 53s
sbt 1.2.8 / jdk 8 / vendored	5m 8s
	2h 52m 5s