Thanks to JimC and Guy (Techguy9707) who helped me along all the way, I was able to finish a project that looked like a nightmare in acts one and two but had a happy ending.
This is just about act 3 now: parts and installation.
The goal was to use the existing front turn signal lights (TSL) and convert them into both, running lights (RL), and turn signal lights. It takes two relays and two load resistors to do that. You can either purchase separate relays, or follow Guy's suggestion and get a Hoppy 48845, which internally connects the RL and TSL and provides the relay function. See wiring diagram for the NAPA part number, that's where I found it. It cost me $15.
For the load resistors, I used 5.6ohm 10W shunts, for $2.
For the installation, I chose to tap into the alarm connector for the input side. The connector is located behind the left knee pad.
Let's the pictures do the talking now:

In the beginning, there was chaos. This is the Hoppy with the full wiring. Most of that will go as it is not needed.
The input side is the one with five wires (on the right). See diagram for details.

This is how I integrated the two load resistors. They are necessary to prevent the blinker to go into fast mode, thinking there is a blown bulb. Note that the ground connection goes to the white (ground) wire on the output side for streamlined wiring. The connections are made with splicer taps.

The connections of the input side: all are tapping into the shown alarm connector.
Because I already had some wires going in, I spliced directly into the wires for ground and +12V. The two TSL contacts (yellow and green) are going into the connector (soldered ends).

This is how I wired it. You will see that for output, I only need two wires, yellow and green, and I crimp-connected those to the wires going to the TSL. Note that the (black) ground wires remain untouched, and the + wires for TSL need to be cut and not reconnected.

Ta-Daa! Running lights always on, and the TS switch will determine which of the two will go into pulse mode, to indicate your turn. I trust that this solution is bright enough (10W) to be seen at daylight, and the way I exposed this picture proves that point.
FTR, the center horn cast light is a 5 SMD-LED lamp (bluish white)
For tools, I used the obvious (whomever will attempt this project will know what they need), but I want to point out that I also needed a fly squatter. Pesky, pesky, pesky, and not good when you're leaning into the scoot, juggling wires and electricity
⚠️ Last edited by windbreaker on UTC; edited 1 time