Restore past Password Manager settings behavior from M125 or older

As of M126, Play services (GMSCore) is used as backend by default for
the saved passwords in Password Manager settings, rendering the previous
backend used to save password inaccessible. This commit restores access
to the password saved in older versions.

In Chrome, it is labeled as Google Password Manager,
which uses GMSCore to store the saved passwords.
As of https://chromium-review.googlesource.com/c/chromium/src/+/5493819m
this backend is planned to be removed in November 2024.

args.gn

@@ -17,6 +17,12 @@ disable_fieldtrial_testing_config = true
 
 dfmify_dev_ui = false
 
+# Restore M125 and older behavior of Password Manager settings,
+# which is Play services independent. This feature is planned
+# to be deprecated in 6 months, based on
+# https://chromium-review.googlesource.com/c/chromium/src/+/5493819
+use_login_database_as_backend = true
+
 # enable patented codecs
 ffmpeg_branding = "Chrome"
 proprietary_codecs = true