If you now have a 240 volt AC circuit near by where you park, why are you trying to still charge on 120 volts? Are both your EVSE's only 120 volt?
If so you can easily convert your OEM Nissan EVSE to 240 volt 12amp. This is what I did to mine as soon as I got it home, in fact the first at home charge I did was after I converted my OEM EVSE to 240 volts. If you are comfortable running new electrical circuits (like I am) then you 100% have the skills to do this mod.
Not the best video but pictures are worth more than words (good pictures are):
Now I didn't do the plug hack he did. For me it was cleaner and simpler to just put on a spare dryer cord (14-30) I already had collecting dust from a dryer long gone.
Mine more closely followed post when I did mine but I used a 22KOhm 1/4watt resistor for the plugs temp sensor (yellow wires) :
In my electronics bin I found a matching 2-pin plug that the temp sensor wires from the original plug end uses, so my original plug end is uncut and could be put back together if needed (thrown in my electronics bin for now).
Per LeafSpy I get a solid 2,600+ watts into the battery pack now with no other active battery draws.