Hi there and welcome to BW forums. It's nice when lurkers decide to post so we can welcome you properly
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Mine also seemed to hit the 4 month regression at 3.5 months so it's certainly possible. He also came out of the regression at 5.5 months (rather than the more common 6 months) so it seemed to last the same length of time but just earlier. Having said that, with LOs there are always a bunch of other things on the go at the same time so it's never 100% clear if it is one thing or another disturbing sleep.
Anyway - I noticed that you are having to use the paci at the 40/45 min mark and wanted to stop by to say this could be a prop issue even though she falls to sleep without props for the start of the nap. LOs can quickly get used to a certain way of doing things (meaning they get used to resettling the way you teach them to resettle) so if you keep on relying on the paci to get through the transition you can be reinforcing this habit rather than dropping it. I would instead try W2S (wake to sleep) and resettling with shush/pat rather than reinserting the paci. Initially things could get a little worse because it is a change of expectations but then you should see some improvement as she becomes less reliant on that paci prop.
Having said that - depending how reliant she is you might choose to continue to give the paci mid nap as SIDS guidance suggests it is not advisable to drop a paci cold turkey if LO is reliant (I don't think your LO sounds reliant due to not using to fall to sleep but you know best and it's your call).
I'll just add that moving house if likely to cause sleep disturbance too, not just the day of the move but following it too just because it will be a new environment for falling to sleep. If you do choose to change things up I would consider that a great time to do it, simply because the sleep is already disturbed so might as well change up the habits at the same time.
Hope the move goes smoothly for you all.