NTT (aka SI) should show every 3 NTP view instead of every 4

[petemill]

After the initial count of NTP view to see the first NTT (currently set to 2nd NTP view), there should be additional opportunities for NTT on every 3rd NTP view. Currently this is set to on every 4th NTP view.

[btlechowski]

Verified with

Brave	1.60.87 Chromium: 118.0.5993.70 (Official Build) beta (64-bit)
Revision	854c1e600054dfca6842cebaf729f100f4b0f066
OS	Linux

opted out

Verified initial NTP SI is on 2nd tab:

Verified subsequent NTP SI are every 3rd tab:

opted in

Verified initial NTP SI is on 2nd tab:

Verified subsequent NTP SI are every 3rd tab:

[hffvld]

Verified on Pixel 7 using version(s):

Device/OS: Pixel 7 [panther_beta-user 14 U1B1.230908.003 release-keys]
Brave build: 1.60.96 
Chromium: 118.0.5993.88 (Official Build) beta (64-bit) 
Revision: b4c059ad1d32d6e0cd1466123f03ccb97b3cf858

Filed follow-up issue #33837

Fresh install

STEPS:

1. Fresh install and launch Brave
2. Go through onboarding until you land on NTP
3. Open new tab > Confirm that 1st NTP SI is shown on the 2nd NTP
4. Open a few more now tabs > Confirm that all next NTP SI is shown on the 3rd NTP
5. Close and restart Brave > Open a few tabs > Verify
6. Enable Brave News > Open a few tabs > Verify
7. Enable Brave Rewards > Open a few tabs > Verify

ACTUAL RESULTS:

• Verified that the 1st NTP SI is shown on the 2nd NTP and all following NTP SI are shown on the 3rd NTP.
• Verified that restarting Brave is resetting the counter for the NTP SI.
• Verified the same behavior after enabling Brave News
• Verified the same behavior after enabling Brave Rewards

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2023-10-23_10-22-53.mp4

Upgrade install

STEPS:

1. Install build 1.59.x and launch Brave
2. Go through onboarding until you land on NTP
3. Open a few NTP > Confirm that 1st NTP SI is shown on the 2nd NTP and all following on the 4th NTP
4. Now upgrade Brave to build 1.60.96 and launch it
5. Open a few NTP > Confirm that 1st NTP SI is shown on the 2nd NTP and all following on the 3rd NTP

ACTUAL RESULTS:

• Verified that the 1st NTP SI is shown on the 2nd NTP and all following NTP SI are shown on the 3rd NTP.
• Verified that restarting Brave is resetting the counter for the NTP SI.

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2023-10-23_11-09-49.mp4