Hello and welcome to BW forums
Honestly it does sound like a prop forming.
Tracy's guide on use of the paci was to use it during the wind down for the rapid sucking to let LO get comfort and to ease the sucking reflex, but to remove it when the sucking reduced so that it does not become a prop for sleep but instead LO is still fully awake and is soothed to sleep using shush/pat instead. I believe this way the idea is that LO gets some comfort but without becoming reliant.
Re-plugging the paci during sleep whether nap or night is a form of prop, it is building dependency on the paci for sleep. That doesn't necessarily mean it is "wrong". Very many BW parents choose to use the paci and to replug until LO can replug independently. SIDS guidance indicates there may be a benefit to using a paci in reducing the risk of SIDS. The SIDS guidance also suggests a paci should not be dropped cold turkey from a baby under 6 months who is reliant on it for sleep as there may be increased risk.
I would think now is the right time for you to read around the subject a little, and make your decision before the reliance is fully established.
sorry, no simple answer!