brave-browser: Follow up of #24338 - Constellation/STAR encryption for P3A is not working on Android

Description

Found while testing #24338 Follow up of #24338 - Constellation/STAR encryption for P3A is not working on Android

Steps to reproduce

1. Follow the test plan from https://github.com/brave/brave-core/pull/14399
2. brave.p3a.approved_cert_fp , brave.p3a.current_epoch, brave.p3a.current_pk, brave.p3a.next_epoch_time and p3a.logs_constellation_prep are not shown in the brave://local-state file
3. p3a.constellation_logs.{epoch number} is not shown in the local state file
4. randomness requests are NOT sent when browser is launched using --enable-features="BraveP3AConstellation" --p3a-star-randomness-host=https://star-randsrv.bsg.brave.software/ --p3a-constellation-upload-url=https://collector.bsg.bravesoftware.com/ --p3a-fake-star-epoch=0

Actual result

Follow up of #24338 - Constellation/STAR encryption for P3A is not working on Android

Expected result

Constellation/STAR encryption for P3A should be working on Android

Issue reproduces how often

1.52.112

Version/Channel Information:

• Can you reproduce this issue with the current Play Store version? NA
• Can you reproduce this issue with the current Play Store Beta version? Yes
• Can you reproduce this issue with the current Play Store Nightly version?Not sure

Device details

• Install type (ARM, x86): ARM
• Device type (Phone, Tablet, Phablet):all
• Android version: 12

Brave version

1.52.112

Website problems only

• Does the issue resolve itself when disabling Brave Shields? NA
• Does the issue resolve itself when disabling Brave Rewards?NA
• Is the issue reproducible on the latest version of Chrome? NA

Additional information

CC: @brave/qa-team @DJAndries @mattmcalister @rillian