Wow - that's a nice sound, and it's gonna take some messing around to duplicate. I'll tell you what I hear, but it's just my opinion. To me this sounds like a single coil in the neck or center position, but it has this very ballsy bouncy hoot (flip) on the verge of feedback that really makes the sound. I have a preset that gets a sound something like this. It uses an ODS-100 amp block (one of the higher gain models).... I think I'm using one of the 4-12 TV mix stock cab ir. I use fair amount of gain - looking for a rock tone, but not a mid-scooped metal tone. I would dial it in on the bridge pickup - eq to crispy rich distortion - and use the hi and low cut in the cab block to tighten it up. Then, flip to the bridge position, single coil or coil tap - and now the magic: back the tone knob on your guitar to 3-5, and drop the guitar volume knob to around 5. There is a sweet spot in there that you should hear when you find it. Then add an appropriate delay block, maybe a bit of room or reverb and you should be in the ball park.
Anyway - one possible way there among many - YMMV. You can get this kind of tone from a lot of amps - I like the ODS-100 because it has an interesting edge of feedback character - several others can easily replicate that character. This is just how I sort of did it.