Question for wiring nerds

I am doing several electrical/lighting mods on my truck. Stuck somewhere was wondering if someone can navigate and I will find the destination.

Got a 2014 SR5 CM with non nav, non JBL stereo. No Auto headlights nada.

Currently, we have a setting in HU that turns on fifth brake/reverse light and its stays on for 30 secs when you unlock through the key fob (if you have it set at 30secs in HU). @BlueBottle did a nice write up here (https://www.tundras.com/threads/diy...op-lock-for-tailgate.12187/page-3#post-664548)

So I tapped into that wiring for my lights that I installed (I installed bed lights, step lights, Rigid LEDs roof lights, LED door handle lights etc.). So far, It works fine but what i m trying to achieve is

Lights should stay on for 45 secs - 1 minute
a. After I lock trough the key fob
b. unlock through key fob

This is also called coming home and leaving home feature in most of European cars. Our Tundras are not equipped for it. The only thing Tundras lighting feature can do is

leave the lights on for 7.5, 15.0, 30.0 secs depending on the setting you have in HU. It won't leave the lights on for more than 30 secs, it turns off the light after 30 secs the most. It also turns off the lights right away as soon as you lock the truck with key fob.

So I researched and found a relay that has the capacity to leave the light on after unlocking or locking the truck. Here is the link to the relay.

https://www.delcity.net/store/Time-Delay-Relays/p_804415.h_804416

Now you guys probably thinking, add the relay to that circuit and call it day. Job done, mission accomplished. Nope.

HU overrides everything in its settings even if I switch the delay time to OFF in HU. After I connected the relay, HU takes the first priority and kills any other conditions or relays I have.
Long story short, let me get to the point now.

Does anyone know any other circuit or wire w power that i can tap into and link my relay there so when I lock and unlock through key fob my relay activates and does what it supposed to do without any interference from HU.

BTW, HU is connected to the truck computer so changing the HU didn't help either. Dome light circuit works the same way so that won't work this way.