tailfs: replace webdavfs with reverse proxies

Instead of modeling remote WebDAV servers as actual
webdav.FS instances, we now just proxy traffic to them.
This not only simplifies the code, but it also allows
WebDAV locking to work correctly by making sure locks are
handled by the servers that need to (i.e. the ones actually
serving the files).

Updates tailscale/corp#16827

Signed-off-by: Percy Wegmann <percy@tailscale.com>

tailfs/tailfsimpl/shared/stat.go

@@ -50,7 +50,7 @@ func RenamedFileInfo(ctx context.Context, name string, fi fs.FileInfo) *StaticFi
 	}
 
 	return &StaticFileInfo{
-		Named:          name,
+		Named:          Base(name),
 		Sized:          fi.Size(),
 		Moded:          fi.Mode(),
 		BirthedTime:    birthTime,
@@ -63,7 +63,7 @@ func RenamedFileInfo(ctx context.Context, name string, fi fs.FileInfo) *StaticFi
 // ReadOnlyDirInfo returns a static fs.FileInfo for a read-only directory
 func ReadOnlyDirInfo(name string, ts time.Time) *StaticFileInfo {
 	return &StaticFileInfo{
-		Named:       name,
+		Named:       Base(name),
 		Sized:       0,
 		Moded:       0555,
 		BirthedTime: ts,