How exactly ttds works?

So, I was thinking
If I use ttds on sucrose/prune (let’s just assume it’s prune to easy things), then switch to Nicole to win 48% atk buff, then using Nicole on ttds (we’re assuming a situation that signature isn’t available) we switch to someone like idk lohen, does lohen atk buff will be from Nicole’s 48% buffed-by-ttds-prune atk + 48% ttds buff OR this ttds buff prune gave is excluded from the calc and he justs recieves the normal 48% ttds buff + Nicole normal buffs without the additional ttds atk ?

Just an addition to clarify my question
I’m talking about Nicole’s atk, if her buffs comes from her atk wouldn’t a ttds atk-buffed Nicole holding ttds would have the next character a lot of buffs? Cause her atk before going to the main dps is going to be like her normal atk+48% by the logic? So she’s buffing somone: 48%+(nicole build atk+48%)?