[com.android.chrome] Not finding accounts

**Affected app**
Name: Google Chrome
Package id: com.android.chrome

**Describe the bug**
I have an account added to GmsCore, and apps like Aurora Store detect it, but Chrome isn't working and redirects me to add another account. When I enter the account name, it tells me it's already added.

Adding the account from the Chrome window doesn't work; the account is added to Gms, but I dont get logged in in Chrome.

**Screenshots**

**System**
Device: Lenovo Tab M10 FHD (X606F)
Android Version: 13/14
Custom ROM: LineageOS20 GSI /LineageOS21 GSI

**microG**
microG Core version: 0.3.13.250932
microG Self-Check results: All ticked except for "Permission to interact with work profile"

Start by reproducing the account-detection and sign-in behavior on the listed Lenovo Tab M10 and LineageOS setup with microG 0.3.13.250932, then trace the GmsCore authentication path used by Chrome. Done means an account already present in GmsCore is recognized by Chrome without prompting for a duplicate account.

Written by the indexing model from the issue text.