Data transfer from iPhone SE to iPhone Mini with ESIM card
How to migrate Data from old iPhone SE w actual SIM card to iPhone 13 mini with ESIM card?
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SIM cards contain no data so the type of SIM does not matter.
Personally I would put the old SIM into the new phone then do Quick Start. Then sort out the eSim afterwards.
Quick Start
Use Quick Start to transfer data to a new iPhone, iPad, or iPod touch - Apple Support
or See the instructions in Transfer data from your previous iOS or iPadOS device to your new iPhone, iPad, or iPod touch - Apple Support